Invariant d'entrelacs associé à la représentation des spineurs de so(7)

Mathematics – Geometric Topology

Scientific paper

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15 pages in french

Scientific paper

Pulling back the weight system associated with the spinor representation of the Lie algebra so(7) by the universal Vassiliev-Kontsevich invariant yields a numerical link invariant with values in formal power series. Computing some skein relations satisfied by this invariant, I derive a recursive algorithm for its evaluation. The values of this invariant belong to the ring Z[W,W^{-1}] of Laurent polynomials in one variable.

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