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2009 Classification of string links up to self delta-moves and concordance
Akira Yasuhara
Algebr. Geom. Topol. 9(1): 265-275 (2009). DOI: 10.2140/agt.2009.9.265

Abstract

For an n–component string link, the Milnor’s concordance invariant is defined for each sequence I=i1i2im(ij{1,,n}). Let r(I) denote the maximum number of times that any index appears. We show that two string links are equivalent up to self Δ–moves and concordance if and only if their Milnor invariants coincide for all sequences I with r(I)2.

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Akira Yasuhara. "Classification of string links up to self delta-moves and concordance." Algebr. Geom. Topol. 9 (1) 265 - 275, 2009. https://doi.org/10.2140/agt.2009.9.265

Information

Received: 6 July 2008; Revised: 26 November 2008; Accepted: 19 December 2008; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1172.57006
MathSciNet: MR2482076
Digital Object Identifier: 10.2140/agt.2009.9.265

Subjects:
Primary: 57M25, 57M27

Rights: Copyright © 2009 Mathematical Sciences Publishers

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