University of Regensburg
Faculty of Mathematics

HomeAboutPeopleEventsResearchRTGPositionsGuest ProgrammeImpressum

From SFB1085 - Higher Invariants
Jump to navigationJump to search

Abstract:

I present a construction of secondary cup and cap products on coarse (co-)homology theories from given cross and slant products. They are defined for coarse spaces relative to weak generalized controlled deformation retracts.

On ordinary coarse cohomology, the secondary cup product agrees with a secondary product defined by Roe. For coarsifications of topological coarse (co-)homology theories, the secondary cup and cap products correspond to the primary cup and cap products on Higson dominated coronas via transgression maps. And in the case of coarse K-theory and -homology, the secondary products correspond to canonical primary products between the K-theories of the stable Higson corona and the Roe algebra under assembly and co-assembly.

(arXiv:2012.11296

Personal Tools
  • Log in

  • Wiki Tools
  • Page
  • Discussion
  • View source
  • History