|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Topological Hochschild
homology and higher characteristics
Jonathan A Campbell and Kate Ponto |
|
Algebraic & Geometric Topology 19 (2019) 965–1017
|
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. |
PDF Access Denied
We have not been able to recognize your IP address
3.139.82.23
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
topological Hochschild homology, Reidemeister trace, Morita
equivalence, bicategorical trace
|
Mathematical Subject Classification 2010
Primary: 16D90, 19D55, 55R12
Secondary: 18D05, 55M20
|
References |
Publication
Received: 13 March 2018
Revised: 30 August 2018
Accepted: 19 September 2018
Published: 12 March 2019
|
Authors |
| Jonathan A Campbell | |
| Department of Mathematics Vanderbilt University Nashville, TN United States |
|
| http://www.jonathanacampbell.com | |
| Kate Ponto | |
| Department of Mathematics University of Kentucky Lexington, KY United States |
|
| http://www.ms.uky.edu/~kate/ | |
