Purely Cosmetic Surgeries And Pretzel Knots

András I. Stipsicz; Zoltán Szabó

doi:10.2140/PJM.2021.313.195

Purely Cosmetic Surgeries And Pretzel Knots

András I. Stipsicz, Zoltán Szabó

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We show that all pretzel knots satisfy the (purely) cosmetic surgery conjecture, i.e., Dehn surgeries with different slopes along a (nontrivial) pretzel knot provide different oriented three-manifolds.

Original language	English (US)
Pages (from-to)	195-211
Number of pages	17
Journal	Pacific Journal of Mathematics
Volume	313
Issue number	1
DOIs	https://doi.org/10.2140/PJM.2021.313.195
State	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Cosmetic surgery
pretzel knots
thickness

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10.2140/PJM.2021.313.195

Cite this

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title = "Purely Cosmetic Surgeries And Pretzel Knots",

abstract = "We show that all pretzel knots satisfy the (purely) cosmetic surgery conjecture, i.e., Dehn surgeries with different slopes along a (nontrivial) pretzel knot provide different oriented three-manifolds.",

keywords = "Cosmetic surgery, pretzel knots, thickness",

author = "Stipsicz, {Andr{\'a}s I.} and Zolt{\'a}n Szab{\'o}",

year = "2021",

doi = "10.2140/PJM.2021.313.195",

language = "English (US)",

volume = "313",

pages = "195--211",

journal = "Pacific Journal of Mathematics",

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AU - Stipsicz, András I.

AU - Szabó, Zoltán

PY - 2021

Y1 - 2021

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AB - We show that all pretzel knots satisfy the (purely) cosmetic surgery conjecture, i.e., Dehn surgeries with different slopes along a (nontrivial) pretzel knot provide different oriented three-manifolds.

KW - Cosmetic surgery

KW - pretzel knots

KW - thickness

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M3 - Article

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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

Purely Cosmetic Surgeries And Pretzel Knots

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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