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On the Casson knot invariant

Michael Polyak, Oleg Viro

math.GTarXiv:math/9903158

Abstract

We study the Vassiliev knot invariant v2 of degree 2. We present it via the degrees of maps of various configuration spaces related to a knot to products of spheres. This gives rise to numerous geometrical and combinatorial formulas for this invariant.

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