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Bounding the Dehn surgery number by 10/8

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arxiv 2405.16904 v1 pith:IDUOWRUE submitted 2024-05-27 math.GT

Beibei Liu , Lisa Piccirillo This is my paper · ORCID
classification math.GT
keywords surgeryapplyargumentboundingcombinatorialdehnexamplesfundamental
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abstract

We provide new examples of 3-manifolds with weight one fundamental group and the same integral homology as the lens space $L(2k,1)$ which are not surgery on any knot in the three-sphere. Our argument uses Furuta's 10/8-theorem, and is simple and combinatorial to apply.

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  1. Unbounded Gaps Between Ordinary and Equivariant Dehn Surgery Numbers

    math.GT 2026-08 accept novelty 7.0 of 10

    For every k, a 3-manifold with an involution has ordinary Dehn surgery number k and equivariant Dehn surgery number 2k.

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