Work

Spectra of subrings of cohomology generated by characteristic classes for fusion systems

Year: 2025

Type: article

Abstract: If is a saturated fusion system on a finite ‐group , we define the Chern subring of to be the subring of generated by Chern classes of ‐stable representations of . We show that is contained in and apply a result of Green and the first author to describe its maximal ideal spectrum in terms of a certain category of elementary abelian subgroups. We obtain similar results for various related subrings, including those generated by characteristic classes of ‐stable ‐sets.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70074

Authors: Ian J. Leary, Jason Semeraro

Institutions: University of Southampton, Loughborough University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Deutsche Forschungsgemeinschaft, Engineering and Physical Sciences Research Council