The link surgery formula and equivariant surgeries

2025/07/17 by Kristen Hendricks, Hendricks, Kristen, Abhishek Mallick +5
Medicine · #57K10 #57K16 #57K18 #57R58 #FOS: Mathematics #Geometric Topology (math.GT) #Spine and Intervertebral Disc Pathology

paper · pdf · doi:10.48550/arxiv.2507.12809

openalex publication_date 2025/07/17 · openalex created_date 2025/10/14 · openalex updated_date 2026/07/28

Abstract

We prove an equivariant version of the Heegaard Floer link surgery formula. As a special case, this gives an equivariant knot surgery formula for equivariant knots in S³. Our proof goes by way of a naturality theorem for certain bordered modules described by the last author. As a sample application, we prove the kernel of the forgetful map from the equivariant homology cobordism group to the homology cobordism group contains a \Z^∞-summand.

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