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Pré-Publication, Document De Travail Année : 2002

Non injectivity of the "hair" map

Résumé

Kricker and Garoufalidis have constructed an invariant of knots Z^rat with values in a space of diagrams with beads. When composed with the so called ``hair'' map H, It gives the Kontsevich integral of the knot. We introduce a new grading on diagrams with beads and use it to show that a non trivial element constructed with Vogel's zero divisor in the algebra Lambda is in the kernel of H. This shows that H is not injective.

Dates et versions

hal-00128599 , version 1 (01-02-2007)

Identifiants

Citer

Bertrand Patureau-Mirand. Non injectivity of the "hair" map. 2002. ⟨hal-00128599⟩
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