Topological Hochschild Homology and Higher Characteristics
Algebraic Topology
2019-03-20 v2 Category Theory
Abstract
We show that an important classical fixed point invariant, the Reidemeister trace, arises as a topological Hochschild homology transfer. This generalizes a corresponding classical result for the Euler characteristic and is a first step in showing the Reidemeister trace is in the image of the cyclotomic trace. The main result follows from developing the relationship between shadows, topological Hochschild homology, and Morita invariance in bicategorical generality.
Keywords
Cite
@article{arxiv.1803.01284,
title = {Topological Hochschild Homology and Higher Characteristics},
author = {Jonathan A. Campbell and Kate Ponto},
journal= {arXiv preprint arXiv:1803.01284},
year = {2019}
}
Comments
Revisions to strengthen one the main technical results and simplify its proof