Topological Hochschild Homology and Higher Characteristics
arXiv:1803.01284 · doi:10.2140/agt.2019.19.965
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.
arXiv commentRevisions to strengthen one the main technical results and simplify its proof
References in corpus (6)
- Equivalences of monoidal model categories
- A universal characterization of higher algebraic K-theory
- Localization theorems in topological Hochschild homology and topological cyclic homology
- On the algebraic K-theory of higher categories
- Shadows and traces in bicategories
- The multiplicativity of fixed point invariants