TL;DR
This paper explores homotopy-theoretical constructions on G-equivariant cohomology spectra associated with Mackey functors, focusing on chain-level descriptions of products, duality, and modules over the constant Green functor.
Contribution
It provides a detailed account of how homotopy-theoretical operations on G-equivariant cohomology spectra can be described at the chain level, especially for Mackey functors.
Findings
Descriptions of products and duality on chain level
Insights into modules over the constant Green functor
Connections between homotopy-theoretical constructions and algebraic structures
Abstract
The purpose of this paper is mainly to record how certain homotopy-theoretical constructions on ordinary G-equivariant cohomology spectra HM for a Mackey functor M, in particular products and duality, can be described on chain level. We will also discuss certain facts about modules over the constant Green functor .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra