Invariants of plane curves and Polyak-Viro type formulas for Vassiliev invariants

スポンサーリンク

概要

• 論文の詳細を見る

• The Kontsevich integral is decomposed into two parts; one part depends on overpass or underpass of the crossing of a knot while the other depends only on the plane curve obtained by projecting the knot to the plane. In this paper, firstly, we express the latter part in terms of Arnold's invariants of plane curves $J_+$, $J_-$ and $St$ up to degree three. Secondly, we show that the Gauss diagram formulas for the Kontsevich integral agree with other types of formulas for Vassiliev invariants which are introduced by M. Polyak and O. Viro.

• 東京大学の論文

著者

• Ochiai Tomoshiro

  Graduate School Of Mathematical Sciences The University Of Tokyo

関連論文

• Invariants of plane curves and Polyak-Viro type formulas for Vassiliev invariants

スポンサーリンク