Concordance groups of links

Andrew Donald; Brendan Owens

doi:10.2140/agt.2012.12.2069

Concordance groups of links

Andrew Donald^*
, Brendan Owens

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

16 Citations (Scopus)

Abstract

We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group L of links in S³, which has the concordance group of knots as a direct summand with infinitely generated complement. We consider variants of this using oriented and unoriented surfaces as well as smooth and locally flat embeddings.

Original language	English
Pages (from-to)	2069-2093
Number of pages	25
Journal	Algebraic and Geometric Topology
Volume	12
Issue number	4
DOIs	https://doi.org/10.2140/agt.2012.12.2069
Publication status	Published - 2 Dec 2012

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title = "Concordance groups of links",

abstract = "We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group L of links in S3, which has the concordance group of knots as a direct summand with infinitely generated complement. We consider variants of this using oriented and unoriented surfaces as well as smooth and locally flat embeddings.",

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AU - Donald, Andrew

AU - Owens, Brendan

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N2 - We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group L of links in S3, which has the concordance group of knots as a direct summand with infinitely generated complement. We consider variants of this using oriented and unoriented surfaces as well as smooth and locally flat embeddings.

AB - We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group L of links in S3, which has the concordance group of knots as a direct summand with infinitely generated complement. We consider variants of this using oriented and unoriented surfaces as well as smooth and locally flat embeddings.

UR - https://www.scopus.com/pages/publications/84871119323

U2 - 10.2140/agt.2012.12.2069

DO - 10.2140/agt.2012.12.2069

M3 - Article (Academic Journal)

AN - SCOPUS:84871119323

SN - 1472-2747

VL - 12

SP - 2069

EP - 2093

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 4

ER -

Concordance groups of links

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