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2019 Topological Hochschild homology and higher characteristics
Jonathan A Campbell, Kate Ponto
Algebr. Geom. Topol. 19(2): 965-1017 (2019). 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 (see Astérisque 333, Soc. Math. France, Paris (2010)), topological Hochschild homology and Morita-invariance in bicategorical generality.

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Jonathan A Campbell. Kate Ponto. "Topological Hochschild homology and higher characteristics." Algebr. Geom. Topol. 19 (2) 965 - 1017, 2019. https://doi.org/10.2140/agt.2019.19.965

Information

Received: 13 March 2018; Revised: 30 August 2018; Accepted: 19 September 2018; Published: 2019
First available in Project Euclid: 19 March 2019

zbMATH: 07075118
MathSciNet: MR3924181
Digital Object Identifier: 10.2140/agt.2019.19.965

Subjects:
Primary: 16D90, 19D55, 55R12
Secondary: 18D05, ‎55M20

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 2 • 2019
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