Equivariant Motivic Homotopy Theory
Algebraic Topology
2013-12-03 v1 Algebraic Geometry
Abstract
In this paper we study a model structure on a category of schemes with a group action and the resulting unstable and stable equivariant motivic homotopy theories. The new model structure introduced here samples a comparison to the one by Voevodsky and Hu-Kriz-Ormsby. We show that it allows to detect equivariant motivic weak equivalences on fixed points and how this property leads to a topologically convenient behavior of stable equivalences. We also prove a negative result concerning descent for equivariant algebraic K-theory.
Keywords
Cite
@article{arxiv.1312.0241,
title = {Equivariant Motivic Homotopy Theory},
author = {Philip Herrmann},
journal= {arXiv preprint arXiv:1312.0241},
year = {2013}
}