On some adjunctions in equivariant stable homotopy theory
Algebraic Topology
2018-05-02 v1
Abstract
We investigate certain adjunctions in derived categories of equivariant spectra, including a right adjoint to fixed points, a right adjoint to pullback by an isometry of universes, and a chain of two right adjoints to geometric fixed points. This leads to a variety of interesting other adjunctions, including a chain of 6 (sometimes 7) adjoints involving the restriction functor to a subgroup of a finite group on equivariant spectra indexed over the trivial universe.
Cite
@article{arxiv.1802.08998,
title = {On some adjunctions in equivariant stable homotopy theory},
author = {Po Hu and Igor Kriz and Petr Somberg},
journal= {arXiv preprint arXiv:1802.08998},
year = {2018}
}
Comments
Accepted for publication in Algebraic and Geometric Topology