Mathematics > Algebraic Topology
[Submitted on 30 Nov 2018 (v1), last revised 3 Sep 2021 (this version, v2)]
Title:Periodic points and topological restriction homology
View PDFAbstract:We answer in the affirmative two conjectures made by Klein and Williams. First, in a range of dimensions, the equivariant Reidemeister trace defines a complete obstruction to removing $n$-periodic points from a self-map $f$. Second, this obstruction defines a class in topological restriction homology.
We prove these results using duality and trace for bicategories. This allows for immediate generalizations, including a corresponding theorem for the fiberwise Reidemeister trace.
Submission history
From: Cary Malkiewich [view email][v1] Fri, 30 Nov 2018 16:20:19 UTC (76 KB)
[v2] Fri, 3 Sep 2021 21:06:58 UTC (66 KB)
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