A model for genuine equivariant commutative ring spectra away from the group order

2019/05/29 by Christian Wimmer, Wimmer, Christian
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1905.12420

openalex publication_date 2019/05/29 · openalex created_date 2019/06/07 · openalex updated_date 2026/07/28

Abstract

We use geometric fixed points to describe the homotopy theory of genuine equivariant commutative ring spectra after inverting the group order. The main innovation is the use of the extra structure provided by the Hill-Hopkins-Ravenel norms in the form of additional norm maps on geometric fixed point diagrams, which turns out to be computationally managable.

Citations

• On the nonexistence of elements of Kervaire invariant one
• On topological cyclic homology

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