Topological hochschild homology and higher characteristics

Jonathan A. Campbell, Kate Ponto

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish
Pages (from-to)965-1017
Number of pages53
JournalAlgebraic and Geometric Topology
Issue number2
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2019, Mathematical Sciences Publishers. All rights reserved.

ASJC Scopus subject areas

  • Geometry and Topology


Dive into the research topics of 'Topological hochschild homology and higher characteristics'. Together they form a unique fingerprint.

Cite this