On knots with infinite smooth concordance order

Adam Simon Levine

doi:10.1142/S021821651100956X

On knots with infinite smooth concordance order

Adam Simon Levine

Mathematics

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

Abstract

We use the Heegaard Floer obstructions defined by Grigsby, Ruberman, and Strle to show that forty-five of the sixty-six knots through eleven crossings whose concordance orders were previously unknown have infinite concordance order.

Original language	English (US)
Article number	1250014
Journal	Journal of Knot Theory and its Ramifications
Volume	21
Issue number	2
DOIs	https://doi.org/10.1142/S021821651100956X
State	Published - Feb 2012

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Branched covers
Concordance
Heegaard Floer homology
Knots

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10.1142/S021821651100956X

Cite this

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title = "On knots with infinite smooth concordance order",

abstract = "We use the Heegaard Floer obstructions defined by Grigsby, Ruberman, and Strle to show that forty-five of the sixty-six knots through eleven crossings whose concordance orders were previously unknown have infinite concordance order.",

keywords = "Branched covers, Concordance, Heegaard Floer homology, Knots",

author = "Levine, \{Adam Simon\}",

note = "Funding Information: The author is grateful to Peter Ozsv{\'a}th for his guidance and for supplying a Math-ematica program for computing correction terms from plumbing diagrams, to Eli Grigsby for many enlightening conversations, and to the referee for helpful suggestions. The author was supported by an NSF postdoctoral fellowship (DMS-1004622) at the time of publication.",

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N1 - Funding Information: The author is grateful to Peter Ozsváth for his guidance and for supplying a Math-ematica program for computing correction terms from plumbing diagrams, to Eli Grigsby for many enlightening conversations, and to the referee for helpful suggestions. The author was supported by an NSF postdoctoral fellowship (DMS-1004622) at the time of publication.

PY - 2012/2

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N2 - We use the Heegaard Floer obstructions defined by Grigsby, Ruberman, and Strle to show that forty-five of the sixty-six knots through eleven crossings whose concordance orders were previously unknown have infinite concordance order.

AB - We use the Heegaard Floer obstructions defined by Grigsby, Ruberman, and Strle to show that forty-five of the sixty-six knots through eleven crossings whose concordance orders were previously unknown have infinite concordance order.

KW - Branched covers

KW - Concordance

KW - Heegaard Floer homology

KW - Knots

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DO - 10.1142/S021821651100956X

M3 - Article

AN - SCOPUS:84856599573

SN - 0218-2165

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JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

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ER -

On knots with infinite smooth concordance order

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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