Equivariant cobordisms between freely-periodic knots

2021/11/20 by Boyle, Keegan, Musyt, Jeffrey
#57K10 #57M60 #57R85 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2111.10678

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.

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