The linearity of fixed point invariants

Kate Ponto, Michael Shulman

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-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 languageEnglish
Title of host publicationContemporary Mathematics
Pages89-120
Number of pages32
DOIs
StatePublished - 2018

Publication series

NameContemporary Mathematics
Volume707
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

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