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Iterated traces in 2-categories and Lefschetz theorems (1908.07497v2)
Published 20 Aug 2019 in math.AT and math.CT
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.
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