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

Bertrand Patureau-Mirand

math.GTarXiv:math/0107138

Abstract

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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