# Periodic Points and Topological Restriction Homology

@article{Malkiewich2018PeriodicPA,
title={Periodic Points and Topological Restriction Homology},
author={Cary Malkiewich and Kate Ponto},
journal={arXiv: Algebraic Topology},
year={2018}
}
• Published 30 November 2018
• Mathematics
• arXiv: Algebraic Topology
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.
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