Generalized Thom spectra and their topological Hochschild homology
Algebraic Topology
2020-01-10 v2
Abstract
We develop a theory of R-module Thom spectra for a commutative symmetric ring spectrum R and we analyze their multiplicative properties. As an interesting source of examples, we show that R-algebra Thom spectra associated to the special unitary groups can be described in terms of quotient constructions on R. We apply the general theory to obtain a description of the R-based topological Hochschild homology associated to an R-algebra Thom spectrum.
Keywords
Cite
@article{arxiv.1608.08388,
title = {Generalized Thom spectra and their topological Hochschild homology},
author = {Samik Basu and Steffen Sagave and Christian Schlichtkrull},
journal= {arXiv preprint arXiv:1608.08388},
year = {2020}
}
Comments
v2: 38 pages, minor revision. Accepted for publication in J. Inst. Math. Jussieu