2013年7月
2- and 3-variations and finite type invariants of degree 2 and 3
Journal of Knot Theory and its Ramifications
- 巻
- 22
- 号
- 8
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1142/S0218216513500429
Goussarov, Polyak and Viro defined a finite type invariant and a local move called an n-variation for virtual knots. In this paper, we give the differences of the values of the finite type invariants of degree 2 and 3 between two virtual knots which can be transformed into each other by a 2- and 3-variation, respectively. As a result, we obtain lower bounds of the distance between long virtual knots by 2-variations and the distance between virtual knots by 3-variations by using the values of the finite type invariants of degree 2 and 3, respectively. © 2013 World Scientific Publishing Company.
- ID情報
-
- DOI : 10.1142/S0218216513500429
- ISSN : 0218-2165
- SCOPUS ID : 84880275345