Equivariant cobordisms between freely-periodic knots
Geometric Topology
2021-11-23 v1
Abstract
We consider free symmetries on cobordisms between knots. We classify which freely periodic knots bound equivariant surfaces in the 4-ball in terms of corresponding homology classes in lens spaces. A key tool is the homology cobordism classification of lens spaces using d-invariants. We give a numerical condition determining the free periods for which torus knots bound equivariant surfaces in the 4-ball.
Cite
@article{arxiv.2111.10678,
title = {Equivariant cobordisms between freely-periodic knots},
author = {Keegan Boyle and Jeffrey Musyt},
journal= {arXiv preprint arXiv:2111.10678},
year = {2021}
}