Cable knots do not admit cosmetic surgeries-Reference-Cited by-同舟云学术

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Cable knots do not admit cosmetic surgeries

Published:2019-04 Issue:04 Volume:28 Page:1950034
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Tao Ran¹^ORCID

Affiliation:

1. School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, Sichuan Province, P. R. China

Abstract

Two Dehn surgeries on a knot are called purely cosmetic if their surgered manifolds are homeomorphic as oriented manifolds. Gordon conjectured that nontrivial knots in [Formula: see text] do not admit purely cosmetic surgeries. In this paper, we confirm this conjecture for cable knots.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216519500342

Reference22 articles.

1. 3-Manifold Groups

2. On the Vassiliev knot invariants

3. Introduction to Vassiliev Knot Invariants

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Cosmetic operations and Khovanov multicurves;Mathematische Annalen;2023-09-11

2. On constraints for knots to admit chirally cosmetic surgeries and their calculations;Pacific Journal of Mathematics;2022-12-31

3. Knots admitting purely cosmetic surgeries are prime;Topology and its Applications;2022-12

4. Heegaard Floer homology and cosmetic surgeries in $S^3$;Journal of the European Mathematical Society;2022-03-17

5. Twisted Mazur Pattern Satellite Knots & Bordered Floer Theory;Michigan Mathematical Journal;2021-01-01

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