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 |
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Title of host publication | Contemporary Mathematics |
Pages | 89-120 |
Number of pages | 32 |
DOIs | |
State | Published - 2018 |
Publication series
Name | Contemporary Mathematics |
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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