Equivariant 4-genera of strongly invertible and periodic knots

2021/01/14 by Keegan Boyle, Ahmad Issa, Boyle, Keegan +1 · 2 citations
Mathematics · #57K10 #57M60 #57R85 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2101.05413

openalex publication_date 2021/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the equivariant genera of strongly invertible and periodic knots. Our techniques include some new strongly invertible concordance group invariants, Donaldson's theorem, and the g-signature. We find many new examples where the equivariant 4-genus is larger than the 4-genus.

Cited by

• A bound on the equivariant unknotting number
• A note on real Heegaard Floer homology and localization

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