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From SFB1085 - Higher Invariants
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Invariants play a dominant role in all of mathematics: Invariants should be fine enough to extract the right information, but coarse enough to be computable in specific cases. Higher invariants are a structural and hierarchical refinement of certain classical invariants. The long term goal of this Collaborative Research Centre is to formulate the principles of construction and computation of higher invariants in a systematic way.
- Higher Chern classes
- Volumes, L-functions, and polylogarithms
- Metric structures on cohomology, vector bundles, and cycles
- Higher categories and enriched structures
Projects and principal investigators
- Cohomology of Higher-Dimensional Schemes {Ended} (U.Jannsen, M. Kerz)
- Differential Arithmetic Geometry {Ended} (U. Bunke, G. Kings, G. Raptis, G. Tamme)
- Cycle Classes in p-Adic Cohomology (V. Ertl, M. Kerz)
- Topological Aspects of Curvature Integrals (B. Ammann, C. Löh)
- Tropical Approaches to Arakelov Theory (W. Gubler, K. Künnemann)
- Coarse Homotopy Theory (U. Bunke, D.-C. Cisinski)
- Higher Nearby Cycles Functors and Grothendieck Duality (D.-C. Cisinski, M. Hoyois)
- Derivators in Higher Category Theory {Ended} (D.-C. Cisinski, G. Raptis)
- Higher Categories of Correspondences {New} (D.-C. Cisinski, M. Hoyois, C. Scheimbauer)
- Motivic Homotopy Theory and Intersection Theory {New} (D.-C. Cisinski, M. Hoyois, M. Kerz)
- Spectral Algebraic Geometry (N. Naumann)
- K-Theory, Polylogarithms and Regulators (G. Kings, J. Sprang, V. Ertl)
- Simplicial Volume and Bounded Cohomology (S. Friedl, C. Löh)
- The l1-Seminorm on Homology and L2-Torsion {Ended} (S. Friedl)
- Non-Archimedean Pluri-Potential Theory (W. Gubler, K. Künnemann)
- Higher Structures in Functorial Field Theory {New} (M. Ludewig, C. Scheimbauer)
- Index Theory on Submanifold Complements {New} (B. Ammann, U. Bunke, M. Ludewig)
Publications/Preprints (in reverse chronological order)
2023
- H. Esnault, M. Kerz. Semi-stable Lefschetz Pencils, arXiv:2311.15886; 11/2023
- M. Pippi. On some (co)homological invariants of coherent matrix factorizations, J. Noncommut. Geom. (2023), arXiv version: [1]; 08/2023.
- C. Löh, G. Raptis. A roadmap to the (vanishing of the) Euler characteristic, arXiv:2306.16933 math.GT; the poster version can be found here; 06/2023
- C. Löh. Exponential growth rates in hyperbolic groups (after Koji Fujiwara and Zlil Sela), Exposée 1206 for the Séminaire Bourbaki (April 2023), arXiv:2304.04424 math.GR; 04/2023
- J. Glöckle, Initial data rigidity via Dirac-Witten operators, arXiv:2304.02331 math.DG; 04/2023.
- R. Gualdi, M. Sombra. Limit heights and special values of the Riemann zeta function, arXiv:2304.01966 math.NT; 04/2023.
- P. Haine, Tim Holzschuh, S. Wolf, Nonabelian base change theorems & étale homotopy theory, arXiv:2304.00938 math.AG; 04/2023.
- L. Martini, S. Wolf, Internal higher topos theory, arXiv:2303.06437 math.CT; 03/2023.
- T. Annala, M. Hoyois, R. Iwasa. Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory, arXiv:2303.02051 math.AG; 03/2023.
- M. Grant, K. Li, E. Meir, I. Patchkoria. Comparison of equivariant cohomological dimensions, arXiv:2302.08574 math.AT; 02/2023.
- D. Beraldo, M. Pippi. Non-commutative nature of ℓ-adic vanishing cycles, arXiv:2302.10120 math.AG; 02/2023.
- R. Gualdi. ¿Cuántas raíces de la unidad anulan un polinomio en dos variables?, La Gaceta de la Real Sociedad Matemática Española 26 (2023), 149 — 172; 02/2023 (divulgative article)
- C. Löh. A comment on the structure of graded modules over graded principal ideal domains in the context of persistent homology, arXiv:2301.11756 math.AC; 01/2023
- Merlin Christ, Tobias Dyckerhoff, Tashi Walde. Complexes of stable ∞-categories, arXiv:2301.02606 math.AG; 01/2023.
- T. Barthel, N. Castellana, D. Heard, N. Naumann, L. Pol Quillen stratification in equivariant homotopy theory.ArXiv:2301.02212;01/2023
2022
- L. Pol. On free global spectra. arXiv:2212.13775; 12/2022
- A. Hogadi, S. Yadav. \A^1 connectivity of moduli of vector bundles on a curve. arXiv:2110.05799v2; 12/22 (updated and final version)
- M. Uschold.Torsion homology growth and cheap rebuilding of inner-amenablegroups, arXiv: 2212.07916math.GR; 12/2022.
- D. Beraldo, M. Pippi. Non-commutative intersection theory and unipotent Deligne-Milnor formula, arXiv:2211.11717 math.AG; 11/2022.
- J. Glöckle, An Enlargeability Obstruction for Spacetimes with both Big Bang and Big Crunch, arXiv:2111.02656 math.DG; 11/2022.
- C. Löh, G. Sartori. Integral foliated simplicial volume and ergodic decomposition, arXiv:2211.00337 math.GT; 11/2022
- M. Hoyois, Joachim Jelisiejew, D. Nardin, M. Yakerson. Hermitian K-theory via oriented Gorenstein algebras. arXiv:2103.15474; 09/2022
- D.-C. Cisinski, M. Pippi. Étale tame vanishing cycles over [A^1_S/G_{m,S}], arXiv:2209.13381; 09/2022.
- C. Löh, J. Witzig. Universal finite functorial semi-norms, arXiv:2209.12971 math.CT; 09/2022
- L. Martini, S. Wolf, Presentable categories internal to an infinity-topos, arxiv:2209.05103 math.CT; 09/2022
- P. Haine, Tim Holzschuh, S. Wolf, The fundamental fiber sequence in étale homotopy theory, International Mathematics Research Notices
- C. Löh. Exploring Formalisation. A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology, Surveys and Tutorials in the Applied Mathematical Sciences, volume 11, Springer, DOI 10.1007/978-3-031-14649-7, project homepage (including Lean src), 09/2022.
- R. Gupta, A. Krishna, J. Rathore, Tame class field theory over local fields, arXiv:2209.02953; 09/2022
- B. Brück, F. Fournier Facio, C. Löh. Median quasimorphisms on CAT(0) cube complexes and their cup products, arXiv:2209.05811 math.GR; 09/2022
- B. Ammann, On Triviality of Dirac-harmonic maps, arXiv:2209.03074; 09/2022.
- S. Linskens, D. Nardin, L. Pol. Global homotopy theory via partially lax limits. arXiv:2206.01556; 06/2022
- C. Löh. The spectrum of simplicial volume with fixed fundamental group, arXiv:2205.14877 math.GT; 05/2022
- M. Pippi. On the structure of dg categories of relative singularities, updated version arXiv:1911.01332v2; 05/2022
- H.K. Nguyen, Taichi Uemura. ∞-type theories, arXiv:2205.00789; 05/2022
- S. Friedl, C. Kausik, J. P. Quintanilha. An algorithm to calculate generalized Seifert matrices, arXiv:2204.10004 math.GT; 04/2022
- S. Friedl, F. Misev, R. Zentner. Rational homology ribbon cobordism is a partial order, arXiv:2204.10730 math.GT; 04/2022
- Y. Fang, W. Gubler, K. Künnemann. On the non-archimedean Monge-Ampère equation in mixed characteristic. arXiv:2203.12282; 03/2022
- J. Witzig. Abstract Excision and ℓ¹-Homology, arXiv:2203.06120 math.AT; 03/2022
- K. Li, C. Löh, M. Moraschini. Bounded acyclicity and relative simplicial volume, arXiv:2202.05606 math.AT; 02/2022
- C. Löh, M. Uschold. L^2-Betti numbers and computability of reals, arXiv:2202.03159 math.GR; 02/2022
2021
- C. Löh, M. Moraschini, R. Sauer. Amenable covers and integral foliated simplicial volume, arXiv:2112.12223 math.GT; 12/2021
- L. Martini, S. Wolf, Limits and colimits in internal higher category theory, arxiv:2111.14495 math.CT; 11/2021
- F. Fournier Facio, C. Löh, M. Moraschini. Bounded cohomology and binate groups, arXiv:2111.04305 math.GR; 11/2021
- R. Gupta, A. Krishna, J. Rathore, A decomposition theorem for 0-cycles and applications, arXiv:2109.10037; 09/2021
- C. Löh, M. Moraschini, G. Raptis. On the simplicial volume and the Euler characteristic of (aspherical) manifolds, arXiv:2109.08115 math.AT; 09/2021
- A. A. Khan, C. Ravi. Generalized cohomology theories for algebraic stacks. arXiv:2106.15001; 06/2021
- F. Fournier Facio, C. Löh, M. Moraschini. Bounded cohomology of finitely generated groups: vanishing, non-vanishing, and computability, arXiv:2106.13567 math.GR; 06/2021
- L. Pol, J. Williamson. Local Gorenstein duality in chromatic group cohomology. arXiv:2106.08669; 06/2021
- S. Friedl, L. Munser, J. P. Quintanilha, Y. Santos Rego. Canonical decompositions and algorithmic recognition of spatial graphs, arXiv:2105.06905 math.GT; 05/2021
- M. Moraschini, G. Raptis. Amenability and acyclicity in bounded cohomology theory, arXiv:2105.02821 math.AT; 05/2021
- C. Löh, M. Moraschini. Topological volumes of fibrations: A note on open covers, arXiv:2104.06038 math.GT; 04/2021
- R. Gupta, A. Krishna, Ramified class field theory and duality over finite fields, arXiv:2104.03029; 04/2021
- G. Raptis. Bounded cohomology and homotopy colimits, arXiv:2103.15614; 03/2021
- B. Ammann, J. Glöckle, arXiv:2103.11032; 03/2021.
- M. Kerz, S. Saito, G. Tamme. K-theory of non-archimedean rings II. arXiv:2103.06711; 03/2021
- H. K. Nguyen, G. Raptis, C. Schrade. Higher weak (co)limits, adjoint functor theorems, and higher Brown representability, arXiv:2103.06003; 03/2021
- F. Hanisch, M. Ludewig. A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold. arXiv:1709.10027; 03/2021
- F. Hanisch, M. Ludewig. The Fermionic integral on loop space and the Pfaffian line bundle. arXiv:1709.10028; 03/2021
- B. Güneysu, M. Ludewig. The Chern Character of theta-summable Fredholm Modules over dg Algebras and Localization on Loop Space. arXiv:1901.04721; 03/2021
- J.I. Burgos Gil, W. Gubler, P. Jell, K. Künnemann. Pluripotential theory for tropical toric varieties and non-archimedean Monge-Ampére equations. arXiv:2102.07392; 02/2021
- L. Pol, N.P. Strickland. Representation stability and outer automorphism groups. arxiv:2102.06410; 02/2021
- T. Fenzl. Extended skeletons of poly-stable pairs, arxiv:2102.05130; 02/2021
- R. Gupta, A. Krishna, Idele class groups with modulus, arXiv:2101.04609; 01/2021
- H. Esnault, M. Kerz. Local systems with quasi-unipotent monodromy at infinity are dense, arXiv:2101.00487; 01/2021
2020
- S. Wolf, The pro-étale topos as a category of pyknotic presheaves, Doc. Math. 27, 2067-2106 (2022) 12/2020
- B. Ammann, J. Mougel, V. Nistor. A regularity result for the bound states of N-body Schrödinger operators: Blow-ups and Lie manifolds arXiv:2012.13902; 12/2020.
- J.I. Burgos Gil, S. Goswami, G. Pearlstein. Height Pairing on Higher Cycles and Mixed Hodge Structures. Proceedings of the London Mathematical Society, 125 (2022), Issue 1, 61-170 [2].
- P. Capovilla, M. Moraschini, C. Löh. Amenable category and complexity, arXiv:2012.00612; 12/2020.
- S.Balchin, J.P.C. Greenlees, L. Pol, J. Williamson. Torsion model for tensor triangulated categories: the one-step case. arXiv:2011.10413; 11/2020
- L. Pol, J. Williamson. The homotopy theory of complete modules. arXiv:2011.06989; 11/2020
- S. Boucksom, W. Gubler, F. Martin. Non-Archimedean volumes of metrized nef line bundles. arXiv:2011.06986; 11/2020
- T. Bachmann, A. A. Khan, C. Ravi, V. Sosnilo. Categorical Milnor squares and K-theory of algebraic stacks. arXiv:2011.04355; 11/2020
- P. Dolce, R. Gualdi, Numerical equivalence of ℝ-divisors and Shioda-Tate formula for arithmetic varieties, arXiv:2010.16134; 10/2020
- N. Heuer, C. Löh, The spectrum of simplicial volume of non-compact manifolds, arXiv:2010.12945; 10/2020.
- M. Ludewig, Z. Yi, A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, arXiv:2010.05892; 10/2020.
- S. Friedl, C. Löh, Epimorphism testing with virtually Abelian targets, arXiv:2010.07537; 10/2020.
- N.Sardari, M.Zargar, New upper bounds for spherical codes and packings, arXiv:2001.00185; 09/2020
- C. Ravi, B. Sreedhar. Virtual equivariant Grothendieck-Riemann-Roch formula. arXiv:2009.09697; 09/2020
- B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, M. Land, D. Nardin, T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings arXiv:2009.07225; 09/2020
- M. Ludewig, G. C. Thiang. Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry. arXiv:2009.07688; 09/2020. To appear in Comm. Math. Phys.
- B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, M. Land, D. Nardin, T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity arXiv:2009.07224; 09/2020
- B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, M. Land, D. Nardin, T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories I: Foundations arXiv:2009.07223; 09/2020
- R. Gupta, Motivic invariants of symmetric powers, arXiv:2009.06986; 09/2020
- M. Hoyois, Joachim Jelisiejew, D. Nardin, Burt Totaro, M. Yakerson. The Hilbert scheme of infinite affine space and algebraic K-theory. arXiv:2002.11439; 09/2020
- Y. Kezuka, Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve. arXiv:2003.02772 math.NT; 08/2020
- E. Elmanto, D. Nardin and L. Yang. A descent view on Mitchell's theorem arXiv:2008.02821; 08/2020
- R. Gupta, A. Krishna, Reciprocity for Kato-Saito idele class group with modulus, arXiv:2008.05719; 08/2020
- S. Baader, R. Blair, A. Kjuchukova and F. Misev. The bridge number of arborescent links with many twigs. arXiv:2008.00763; 08/2020
- S. Friedl, T. Kitayama, L. Lewark, M. Nagel and M. Powell. Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials. arXiv:2007.15289; 08/2020
- G. Herrmann and J. P. Quintanilha. The Complex of Hypersurfaces in a Homology Class. arXiv:2007.00522; 07/2020
- M. Ludewig, S. Roos. The Chiral Anomaly of the Free Fermion in Functorial Field Theory. arXiv:2010.05892; Ann. Henri Poincare, 21:1191-1233, 06/2020.
- M. Ludewig, G. C. Thiang. Good Wannier bases in Hilbert modules associated to topological insulators. arXiv:1904.13051; J. Math. Phys., 61, 061902, 06/2020.
- A. Galateau and C. Martínez. Homothéties explicites des représentations ℓ-adiques. arXiv:2006.07401; 06/2020
- H. Esnault and M. Kerz. Density of Arithmetic Representations of Function Fields. arXiv:2005.12819; 05/2020
- S. Boucksom, W. Gubler, F. Martin. Differentiability of relative volumes over an arbitrary non-archimedean field. arXiv:2004.03847; 04/2020
- A. M. Botero and J. I. Burgos Gil. Toroidal b-divisors and Monge-Ampére measures. arXiv.2004.1405; 04/2020
- K. van Woerden. Quantifying Quillen's Uniform Fp-isomorphism Theorem. arXiv:1711.10206v2 math. AT; 03/2020
- D. Heard. The topological nilpotence degree of a Noetherian unstable algebra. arXiv:2003.13267; 03/2020
- S. Kionke, C. Löh. A note on p-adic simplicial volumes, arXiv:2003.10756 math.GT; 03/2020
- Burgos Gil, José Ignacio; Gubler, Walter; P. Jell; Künnemann, Klaus: A comparison of positivity in complex and tropical toric geometry. arXiv:2003.08644 math.AG; 03/2020.
- C. Löh. Ergodic theoretic methods in group homology. A minicourse on L2-Betti numbers in group theory. SpringerBriefs in Mathematics, Springer, DOI 10.1007/978-3-030-44220-0 03/2020.
- C. Löh, M. Moraschini. Simplicial volume via normalised cycles, arXiv:2003.02584 math.AT; 03/2020
- R. Gualdi, C. Martínez, Higher dimensional essential minima and equidistribution of cycles, arXiv:2001.11468; 01/2020
- M. Land, L. Meier, G. Tamme, Vanishing results for chromatic localizations of algebraic K-theory. arXiv:2001.10425; 01/2020
- T. Barthel, D. Heard, N. Castellana, G. Valenzuela. Local Gorenstein duality for cochains on spaces. arXiv:2001.02580; 01/2020. Journal of Pure and Applied Algebra, Volume 225, Issue 2, February 2021
- M. Ludewig, G. C. Thiang. Cobordism invariance of topological edge-following states. arXiv:2001.08339; 01/2020.
- M. Ludewig, A. Stoffel. A framework for geometric field theories and their classification in dimension one. arXiv:2001.05721; 01/2020.
2019
- G. Kings, J. Sprang, Eisenstein-Kronecker classes, integrality of critical values of Hecke L-functions and p-adic interpolation,arXiv:1912.03657; 12/2019
- M. Moraschini, Alessio Savini. Multiplicative constants and maximal measurable cocycles in bounded cohomology. arXiv:1912.09731; 12/2019
- Stefan Friedl, Stefano Vidussi. BNS Invariants and Algebraic Fibrations of Group Extensions. arXiv:1912.10524; 12/2019
- R. Frigerio, M. Moraschini. Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume, arXiv:1808.07307 math.GT; 12/2019; To appear in Memoirs of the American Mathematical Society.
- A. M. Botero, J. I. Burgos Gil and M. Sombra. Convex analysis on polyhedral spaces. arXiv:1911.04821; 11/2019
- Y. Kezuka, Y. Li, A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial. arXiv:1911.04532 math.NT; 11/2019
- N. Heuer, C. Löh. Transcendental simplicial volumes, arXiv:1911.006386 math.GT; 11/2019
- N. Heuer, C. Löh. Simplicial volume of one-relator groups and stable commutator length, arXiv:1911.02470 math.GT; 11/2019
- T. Bachmann, E. Elmanto, M. Hoyois, A.A. Khan, V. Sosnilo, M. Yakerson. On the infinite loop spaces of algebraic cobordism and the motivic sphere. arXiv:1911.02262; 11/2019
- C. Löh, R. Sauer. Bounded cohomology of amenable covers via classifying spaces, arXiv:1910.11716 math.AT; 10/2019
- B. Ammann; J. Mougel; V. Nistor, A comparison of the Georgescu and Vasy spaces associated to the N-body problems. arXiv:1910.10656 math-ph; 10/2019
- A. M. Botero. The Convex-Set Algebra and intersection theory on the Toric Riemann-Zariski Space. arXiv.1909.08262; 09/2019
- S. Friedl, M. Nagel, P. Orson, M. Powell. A survey of the foundations of four-manifold theory in the topological category. arXiv:1910.07372; 10/2019
- D. Fauser, C. Löh, M. Moraschini, J. P. Quintanilha. Stable integral simplicial volume of 3-manifolds, arXiv:1910.06120 math.GT; 10/2019
- M.Zargar, Riemannian structures and point-counting, arXiv:1910.04003; 10/2019
- M.Zargar, Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem, Advances in Mathematics, vol. 354; 10/2019
- A.A. Khan. Virtual excess intersection theory. arXiv:1909.13829; 09/2019
- P. Jell, Tropical cohomology with integral coefficients for analytic spaces. arXiv:1909.12633 math.AG; 09/2019
- V. Wanner, Energy Minimization Principle for non-archimedean curves. arXiv:1909.11335; 09/2019.
- V. Ertl, L.E. Miller. Witt differentials in the h-topology. arXiv:1703.08868 math.AC; Journal of Pure and Applied Algebra, vol. 223, no. 12, 12/2019, pp. 5285-5309.
- N.Sardari, M.Zargar, Ramanujan graphs and exponential sums over function fields, arXiv:1909.07365; 09/2019
- A.A. Khan. Virtual fundamental classes of derived stacks I. arXiv:1909.01332; 09/2019
- M. Moraschini, Alessio Savini. A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices. arXiv:1909.00846; 09/2019 To appear in Transformation Groups.
- Imre Bokor, Diarmuid Crowley, S. Friedl, Fabian Hebestreit, Daniel Kasprowski, Markus Land, Johnny Nicholson Connected sum decompositions of high-dimensional manifolds. arXiv:1909.02628; 09/2019
- M. Lüders, Algebraization for zero-cycles and the p-adic cycle class map, Mathematical Research Letters, Volume 26 (2019) Number 2, pp. 557-585.
- M. Lüders, A restriction isomorphism for zero cyclces with coefficients in Milnor K-theory, Cambridge Journal of Mathematics, Volume 7 (2019) Number 1-2, pp. 1-31.
- A. Engel, Ch. Wulff, R. Zeidler. Slant products on the Higson-Roe exact sequence, arXiv:1909.03777 math.KT; 09/2019
- S. Baader, I. Banfield, L. Lewark. Untwisting 3-strand torus knots. arXiv:1909.01003; 09/2019
- E. Elmanto, M. Hoyois, A.A. Khan, V. Sosnilo, M. Yakerson. Modules over algebraic cobordism. arXiv:1908.02162; 08/2019
- N.Sardari, M.Zargar, Sections of quadrics over A^1_{F_q}, arXiv:1907.07839; 08/2019
- H. Esnault, M. Kerz, Etale cohomology of rank one l-adic local systems in positive characteristic, arxiv:1908.08291; 08/2019
- H.K.Nguyen, Covariant & Contravariant Homotopy Theories, arxiv:1908.06879; 08/2019
- Y. Kezuka, On the main conjecture of Iwasawa theory for certain non-cyclotomic ℤp-extensions. arXiv:1711.07554 math.NT; J. Lond. Math. Soc., Vol. 100, pp. 107-136, 8/2019
- Y. Kezuka, J. Choi, Y. Li, Analogues of Iwasawa's μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic ℤ2-extension. arXiv:1711.01697 math.NT; Asian J. Math., Vol. 23, No. 3, pp. 383-400, 7/2019
- S. Friedl, Mark Powell, Homotopy ribbon concordance and Alexander polynomials. arXiv:1907.09031; 07/2019
- V. Ertl, K. Yamada. Rigid analytic reconstruction of Hyodo--Kato theory. arXiv:1907.10964 math.NT; 07/2019.
- D. Heard. Depth and detection for Noetherian unstable algebras. arxiv:1907.06373; 07/2019
- L. Prader, A local–global principle for surjective polynomial maps, arXiv:1909.11690; Journal of Pure and Applied Algebra 223(6), 06/2019, pp. 2371-2381
- J. Glöckle, Homotopy of the space of initial values satisfying the dominant energy condition strictly, arXiv:1906.00099; 05/2019
- N. Naumann, C. Ravi. Rigidity in equivariant algebraic $K$-theory. arXiv:1905.03102; 05/2019
- P. Feller, L. Lewark. Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space. arXiv:1905.08305; 05/2019
- G. Raptis, W. Steimle, Topological manifold bundles and the A-theory assembly map. arXiv:1905.01868; 05/2019
- P. Antonini, A. Buss, A. Engel, T. Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, arXiv:1905.07730 math.KT; 05/2019
- J. Schmidt, F. Strunk. A Bloch--Ogus Theorem for henselian local rings in mixed characteristic. arXiv:1904.02937; 04/2019
- T. Barthel, D. Heard, N. Castellana, G. Valenzuela. On stratification for spaces with Noetherian mod p cohomology. arxiv:1904.12841; 04/2019
- B. Karlhofer, J. Kędra, M. Marcinkowski, A. Trost. Qualitative counting closed geodesics,arXiv:1904.11237 math.DG; 04/2019
- N. Heuer, C. Löh. The spectrum of simplicial volume. arXiv:1904.04539 math.GT; 04/2019
- K. Bohlen, J. M. Lescure. A geometric approach to K-homology for Lie manifolds, arXiv:1904.04069; 04/2019
- V. Ertl, A. Shiho. On infiniteness of integral overconvergent de Rham-Witt cohomology modulo torsion. arXiv:1812.03720 math.NT; 04/2019; to appear in the Tohoku Mathematical Journal.
- V. Ertl. A new proof of a vanishing result due to Berthelot, Esnault, and Rülling. arXiv:1805.06269 math.NT; 04/2019 to appear in the Journal of Number Theory.
- C. Löh. Residually finite categories. arXiv:1903.11488 math.CT; 03/2019
- A. Engel, C. Löh. Polynomially weighted l^p-completions and group homology. arXiv:1903.11486 math.GR; 03/2019
- B. Ammann; K. Kröncke, O. Müller. Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors. Commun. Math. Phys. 387, 77-109 (2021), doi: 10.1007/s00220-021-04172-1, arXiv:1903.02064 math.DG; 03/2019
- M. Brandenbursky, M. Marcinkowski. Bounded cohomology of transformation groups. arXiv:1902.11067 math.GT; 02/2019.
- H. Esnault, M. Kerz, Arithmetic subspaces of moduli spaces of rank one local systems. arXiv:1902.02961; 2/2019.
- F. Déglise, J. Fasel, F. Jin, A.A. Khan. Borel isomorphism and absolute purity. arXiv:1902.02055; 02/2019
- G. Raptis, On transfer maps in the algebraic K-theory of spaces. arXiv:1901.05539; 01/2019
- V. Ertl, W. Nizioł. Syntomic cohomology and p-adic motivic cohomology. Algebraic Geometry, vol. 6, no. 1, pp. 100-131; 01/2019.
2018
- E. Elmanto, A.A. Khan. Perfection in motivic homotopy theory. arXiv:1812.07506; 12/2018
- M. Kerz, F. Strunk, G. Tamme, Towards Vorst's conjecture in positive characteristic. arXiv:1812.05342; 12/2018.
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2016
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2015
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2014
- V. Diekert, F. Martin, G. Sénizergues, P. V. Silva: Equations over free inverse monoids with idempotent variables. arxiv:1412.4737 cs.LO; 12/2014
- Harju A.J: Quantum Orbifolds. arXiv:1412.4589 math.QA; 12/2014
- Harju A.J.: On Noncommutative Geometry of Orbifolds. arXiv:1405.7139 math.DG; 12/2014 (revision)
- S. Friedl, M. Nagel. 3-manifolds that can be made acyclic. arXiv:1412.4280 math.GT; 12/2014
- G. Kings, D. Roessler. Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes. arXiv:1412:2925 math.AG; 12/2014
- S. Friedl, D. Silver, S. Wiliams. The Turaev and Thurston norms. arXiv:1412.2406 math.GT; 12/2014
- F. Belgun Geodesics and Submanifold Structures in Conformal Geometry. arXiv:1411.4404 math.DG; 11/2014
- J. Dubois, S. Friedl, W. Lueck. The L^2-Alexander torsion is symmetric. arXiv:1411.2292 math.GT; 11/2014
- X. Shen. On the cohomology of some simple Shimura varieties with bad reduction. arXiv:1411.0245 math.NT; 11/2014
- X. Shen. On the l-adic cohomology of some p-adically uniformized Shimura varieties. arXiv:1411.0244 math.NT; 11/2014
- F. Martin. Overconvergent subanalytic subsets in the framework of Berkovich spaces arXiv:1211.6684; 10/2014
- J. Dubois, S. Friedl, W. Lueck. Three flavors of twisted invariants of knots. arXiv:1410.6924 math.GT; 10/2014
- J. Dubois, S. Friedl, W. Lueck. The L^2-Alexander torsion of 3-manifolds. arXiv:1410.6918 math.GT; 10/2014
- A. Beilinson, G. Kings, A. Levin. Topological polylogarithms and p-adic interpolation of L-values of totally real fields. arXiv:1410:4741 math.NT; 10/2014
- M. Nagel. Minimal genus in circle bundles over 3-manifolds. arXiv 1410.4018 math.GT; 10/2014
- J. Noel Nilpotence in the symplectic bordism ring. arxiv 1410.3847 math.AT To appear Cont. Mathematics.
- S. Friedl, M. Nagel, M. Powell. A specious unlinking strategy. arXiv:1410.2052 math.GT; 10/2014
- M. Borodzik, S. Friedl, M. Powell. Blanchfield forms and Gordian distance arXiv:1409.8421 math.GT; 09/2014
- N. Naumann, J. Sprang. p-adic interpolation and multiplicative orientations of KO and tmf. arXiv:1409.5314 math.AT; 09/2014
- P. Jell. A Poincaré lemma for real valued differential forms on Berkovich spaces. arXiv:1409:0676 math.AG; 09/2014 Publication at Mathematische Zeitschrift DOI: 10.1007/s00209-015-1583-8 11/15
- R. Scheider. The de Rham realization of the elliptic polylogarithm in families. arXiv:1408.3819 math.AG; 08/2014
- G. Tamme. On an analytic version of Lazard's isomorphism. arXiv:1408.4301 math.NT; 08/2014
- W. Gubler, K. Künnemann. A tropical approach to non-archimedean Arakelov theory. arXiv:1406.7637 math.AG; 06/2014
- G. Kings, D. Loeffler, S. Zerbes. Rankin-Selberg Eulersystems and p-adic interpolation. arxiv:1405.3079 math.NT; 05/2014
- A. Mathew, N. Naumann, J. Noel On a nilpotence conjecture of J.P. May. arxiv:1403.2023 math.AT; Journal of Topology, 12/2015.
- W. Gubler, J. Rabinoff, A. Werner Skeletons and tropicalizations. arXiv:1404.7044 math.AG; 04/2014
- C. Löh. Finite functorial semi-norms and representability. arXiv:1404.6557 math.AT; 04/2014