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Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory
January 9-11, 2009
George Washington University
Washington, DC, USA

Organizers
Yoshiyuki Ohyama (TWCU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Kouki Taniyama (Waseda and GWU), Tatsuya Tsukamoto (Osaka IT), Hao Wu (GWU), Akira Yasuhara (Tokyo GU)

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Classification of string links up to self delta-moves and concordance
by
Akira Yasuhara
Tokyo Gakugei University

For an n-component (string) link, the Milnor's concordance invariant is defined for each sequence I=i1i2...im (ij ∈ {1, ..., n}). Let r(I) denote the maximum number of times that any index appears in I. We show that two string links are equivalent up to self delta-moves and concordance if and only if their Milnor invariants with r ≤ 2 coincide.

Date received: November 19, 2008

Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caxq-25.