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TWIST MOVES AND VASSILIEV INVARIANTS.
- Source :
-
Journal of Knot Theory & Its Ramifications . Sep2004, Vol. 13 Issue 6, p719-735. 17p. - Publication Year :
- 2004
-
Abstract
- The transforms of two oriented parallel strands to a k-half twist of two strands are called tk-move and &tmacr;k-move respectively depending on the orientations of the two strands. In this paper we give criterions to detect whether a knot K can be transformed to a knot K' by t2k-moves and t2k-moves respectively and if so, we give some results on how many moves are needed in these transformations respectively, by using some Vassiliev invariants. Moreover we give a relation between the Δ-move and the t2k-move by considering the coefficient of z2 in the Conway polynomial of a knot, which is a Vassiliev invariant of degree 2. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 13
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 14509271
- Full Text :
- https://doi.org/10.1142/S021821650400341X