Abstract
AbstractWe consider free symmetries on cobordisms between knots, which is equivalent to cobordisms between knots in lens spaces. We classify which freely periodic knots bound equivariant surfaces in the 4-ball in terms of corresponding homology classes in lens spaces. We give a numerical condition determining the free periods for which torus knots bound equivariant surfaces in the 4-ball.
Publisher
Canadian Mathematical Society
Reference18 articles.
1. Equivariant 4‐genera of strongly invertible and periodic knots
2. Corks, involutions, and Heegaard Floer homology;Dai;J. Eur. Math. Soc.
3. Fixed-Point Theorems for Periodic Transformations
4. The Topological Classification of the Lens Spaces
5. [BI21b] Boyle, K. and Issa, A. , Equivariantly slicing strongly negative amphichiral knots. Preprint, 2021. https://arxiv.org/abs/2109.01198