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}
}
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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7 Citations
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7 Citations

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