Volume 9, issue 1 (2009)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
To Appear
 
Other MSP Journals
Classification of string links up to self delta-moves and concordance

Akira Yasuhara

Algebraic & Geometric Topology 9 (2009) 265–275
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.

Keywords
string link, $\Delta$–move, self $\Delta$–move, link-homotopy, concordance, self $\Delta$–equivalence, Milnor invariant
Mathematical Subject Classification 2000
Primary: 57M25, 57M27
References
Publication
Received: 6 July 2008
Revised: 26 November 2008
Accepted: 19 December 2008
Published: 13 February 2009
Authors
Akira Yasuhara
Tokyo Gakugei University
Department of Mathematics
Koganeishi
Tokyo 184–8501
Japan