Iterated traces in 2-categories and Lefschetz theorems
Algebraic Topology
2022-08-10 v2 Category Theory
Abstract
While not obvious from its initial motivation in linear algebra, there are many context where iterated traces can be defined. In this paper we prove a very general theorem about iterated 2-categorical traces. We show that many Lefschetz-type theorems in the literature are consequences of this result and the new perspective we provide allows for immediate spectral generalizations.
Cite
@article{arxiv.1908.07497,
title = {Iterated traces in 2-categories and Lefschetz theorems},
author = {Jonathan A. Campbell and Kate Ponto},
journal= {arXiv preprint arXiv:1908.07497},
year = {2022}
}
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