On the Casson knot invariant

Michael Polyak; Oleg Viro

On the Casson knot invariant

Geometric Topology 2007-05-23 v1 Quantum Algebra

Authors: Michael Polyak , Oleg Viro

Abstract

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.

Keywords

knot invariants seiberg-witten invariants knot theory

Cite

@article{arxiv.math/9903158,
  title  = {On the Casson knot invariant},
  author = {Michael Polyak and Oleg Viro},
  journal= {arXiv preprint arXiv:math/9903158},
  year   = {2007}
}

Comments

28 pages, many figures

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