Finite type invariants of knots via their Seifert matrices
Hitoshi Murakami, Tomotada Ohtsuki
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.
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