Nonslice linear combinations of iterated torus knots

Anthony Conway; Min Hoon Kim; Wojciech Politarczyk

doi:10.2140/agt.2023.23.765

Nonslice linear combinations of iterated torus knots

Anthony Conway, Min Hoon Kim, Wojciech Politarczyk

Department of Mathematics

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

2 Scopus citations

Abstract

In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance group. We use twisted Blanchfield pairings to answer this question in the affirmative for new large families of algebraic knots.

Original language	English
Pages (from-to)	765-802
Number of pages	38
Journal	Algebraic and Geometric Topology
Volume	23
Issue number	2
DOIs	https://doi.org/10.2140/agt.2023.23.765
State	Published - 2023

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© 2023, Mathematical Sciences Publishers. All rights reserved.

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title = "Nonslice linear combinations of iterated torus knots",

abstract = "In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance group. We use twisted Blanchfield pairings to answer this question in the affirmative for new large families of algebraic knots.",

author = "Anthony Conway and Kim, {Min Hoon} and Wojciech Politarczyk",

year = "2023",

doi = "10.2140/agt.2023.23.765",

language = "English",

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journal = "Algebraic and Geometric Topology",

issn = "1472-2747",

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AU - Kim, Min Hoon

AU - Politarczyk, Wojciech

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N2 - In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance group. We use twisted Blanchfield pairings to answer this question in the affirmative for new large families of algebraic knots.

AB - In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance group. We use twisted Blanchfield pairings to answer this question in the affirmative for new large families of algebraic knots.

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DO - 10.2140/agt.2023.23.765

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VL - 23

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EP - 802

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 2

ER -

Nonslice linear combinations of iterated torus knots

Abstract

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