English

Finite type invariants of knots via their Seifert matrices

Geometric Topology 2007-05-23 v2

Abstract

We define a filtration on the vector space spanned by Seifert matrices of knots related to Vassiliev's filtration on the space of knots. Further we show that the invariants of knots derived from the filtration can be expressed by coefficients of the Alexander polynomial.

Keywords

Cite

@article{arxiv.math/9903069,
  title  = {Finite type invariants of knots via their Seifert matrices},
  author = {Hitoshi Murakami and Tomotada Ohtsuki},
  journal= {arXiv preprint arXiv:math/9903069},
  year   = {2007}
}

Comments

8 pages, 7 figures, updated references