Characterization of Finite Type String Link Invariants of Degree < 5

Jean-Baptiste Meilhan; Akira Yasuhara

doi:10.1017/s0305004110000046

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arXiv · 0904.1527

Characterization of Finite Type String Link Invariants of Degree < 5

Jean-Baptiste Meilhan·Akira Yasuhara

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Abstract

In this paper, we give a complete set of finite type string link invariants of degree <5. In addition to Milnor invariants, these include several string link invariants constructed by evaluating knot invariants on certain closure of (cabled) string links. We show that finite type invariants classify string links up to C_k-moves for k<6, which proves, at low degree, a conjecture due to Goussarov and Habiro. We also give a similar characterization of finite type concordance invariants of degree <6.

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BibTeX RIS

Jean-Baptiste Meilhan, Akira Yasuhara. 2009-04-09. Characterization of Finite Type String Link Invariants of Degree < 5. https://doi.org/10.1017/s0305004110000046

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