The linearity of fixed point invariants
Algebraic Topology
2017-09-28 v2 Category Theory
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.
Cite
@article{arxiv.1406.7861,
title = {The linearity of fixed point invariants},
author = {Kate Ponto and Michael Shulman},
journal= {arXiv preprint arXiv:1406.7861},
year = {2017}
}
Comments
v2: Expanded introduction; final version