Iterated traces in 2–categories and Lefschetz theorems

Iterated traces in 2–categories and Lefschetz theorems
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2-类别和 Lefschetz 中的迭代迹

DOI:
10.2140/agt.2022.22.815
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发表时间:
2019
期刊:
Algebraic & Geometric Topology
影响因子:
--
通讯作者:
K. Ponto
K. Ponto
中科院分区:
--
文献类型:
--
作者:
Jonathan A. Campbell;K. Ponto

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虽然从线性代数中的初始动机来看并不明显,但有许多上下文可以定义迭代迹。本文证明了迭代2-范畴迹的一个非常一般的定理。我们发现,许多Lefschetz型定理在文献中的后果,这一结果和新的视角,我们提供了允许立即谱推广。
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.
拓扑 Hochschild 同调和更高特性
DOI: 10.2140/agt.2019.19.965
发表时间: 2019
影响因子: 0.7
作者:
Campbell, Jonathan;Ponto, Kate
通讯作者: Ponto, Kate