A note on Jones polynomial and cosmetic surgery

DOI10.4310/CAG.2019.v27.n5.a3zbMath1436.57005arXiv1606.03372MaRDI QIDQ2286173

Kazuhiro Ichihara, Zhongtao Wu

Publication date: 10 January 2020

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03372

zbMATH Keywords

Dehn surgeryAlexander polynomialJones polynomialtwo-bridge knothomology sphereRasmussen invariantslopeWhitehead doubleknot genusLescop invariantcosmetic surgery

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Cobordism and concordance in topological manifolds (57N70) Knot polynomials (57K14) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (9)

Two-bridge knots admit no purely cosmetic surgeries ⋮ Alternating odd pretzel knots and chirally cosmetic surgeries ⋮ Effective bilipschitz bounds on drilling and filling ⋮ On constraints for knots to admit chirally cosmetic surgeries and their calculations ⋮ Heegaard Floer homology and cosmetic surgeries in \(S^3\) ⋮ Cable knots do not admit cosmetic surgeries ⋮ Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements ⋮ Purely cosmetic surgeries and pretzel knots ⋮ Chirally cosmetic surgeries and Casson invariants

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