pith. machine review for the scientific record. sign in

arxiv: 1905.12420 · v1 · submitted 2019-05-29 · 🧮 math.AT

Recognition: unknown

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

Christian Wimmer
Authors on Pith no claims yet
classification 🧮 math.AT
keywords commutativeequivariantfixedgenuinegeometricgrouporderring
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. An algebraic model for rational ultracommutative rings

    math.AT 2026-05 unverdicted novelty 7.0

    Geometric fixed points and norms assemble into an equivalence between rational ultracommutative rings and functors on the span category of finite connected groupoids with full backwards and faithful forwards maps.

  2. An algebraic model for rational ultracommutative rings

    math.AT 2026-05 unverdicted novelty 7.0

    Geometric norms together with inflations assemble into a functor that is an equivalence between rational ultracommutative ring spectra and certain functors on the span category of finite connected groupoids.

  3. A model for normed algebras in rational G-spectra

    math.AT 2026-04 unverdicted novelty 6.0

    Normed algebras in rational G-spectra for finite G are equivalent to families of commutative rational algebras with compatible maps indexed by conjugacy classes of subgroups according to an indexing system I.