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Article Dans Une Revue Journal of Knot Theory and Its Ramifications Année : 2005

On Vassiliev invariants of order two for string links

Résumé

We show that the Casson knot invariant, linking number and Milnor's triple linking number, together with a certain 2-string link invariant $V_2$, are necessary and sufficient to express any string link Vassiliev invariant of order two. Explicit combinatorial formulas are given for these invariants. This result is applied to the theory of claspers for string links.

Dates et versions

hal-00347983 , version 1 (17-12-2008)

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Jean-Baptiste Meilhan. On Vassiliev invariants of order two for string links. Journal of Knot Theory and Its Ramifications, 2005, 14 (5), pp.665-687. ⟨hal-00347983⟩
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