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arxiv: math/9903158 · v1 · submitted 1999-03-28 · 🧮 math.GT · math.QA

On the Casson knot invariant

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keywords invariantknotcassoncombinatorialconfigurationdegreedegreesformulas
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We study the Vassiliev knot invariant v_2 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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