Characterization of Finite Type String Link
نویسنده
چکیده
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 Ck-moves for k ≤ 5, 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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ar X iv : 0 90 4 . 15 27 v 1 [ m at h . G T ] 9 A pr 2 00 9 CHARACTERIZATION OF FINITE TYPE STRING LINK INVARIANTS OF DEGREE < 5
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 Ck-moves for k ≤ 5, which proves, at low degree, a conjecture due to Goussar...
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