The linearity of fixed point invariants

Kate Ponto; Michael Shulman

doi:10.1090/conm/707/14256

The linearity of fixed point invariants

Kate Ponto, Michael Shulman

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

We prove two general decomposition theorems for fixed-point invariants: one for the Lefschetz number and one for the Reidemeister trace. These theorems imply the familiar additivity results for these invariants. Moreover, the proofs of these theorems are essentially formal, taking place in the abstract context of bicategorical traces. This makes it straightforward to generalize the theory to analogous invariants in other contexts, such as equivariant and fiberwise homotopy theory.

Original language	English
Title of host publication	Contemporary Mathematics
Pages	89-120
Number of pages	32
DOIs	https://doi.org/10.1090/conm/707/14256
State	Published - 2018

Publication series

Name	Contemporary Mathematics
Volume	707
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Bibliographical note

Publisher Copyright:
© 2018 Kate Ponto and Michael Shulman.

Keywords

Additivity
Derivators
Monoidal model category
Trace

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1090/conm/707/14256

Cite this

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KW - Derivators

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KW - Trace

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The linearity of fixed point invariants

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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