TWIST MOVES AND VASSILIEV INVARIANTS
2004 ◽
Vol 13
(06)
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pp. 719-735
Keyword(s):
The transforms of two oriented parallel strands to a k-half twist of two strands are called tk-move and [Formula: see text]-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 [Formula: see text]-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.
2003 ◽
Vol 12
(06)
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pp. 767-779
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Keyword(s):
2006 ◽
Vol 15
(09)
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pp. 1215-1224
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2008 ◽
Vol 17
(07)
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pp. 771-785
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2013 ◽
Vol 22
(05)
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pp. 1350017
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Keyword(s):
1994 ◽
Vol 03
(03)
◽
pp. 391-405
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1996 ◽
Vol 05
(04)
◽
pp. 421-425
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Keyword(s):
1999 ◽
Vol 08
(02)
◽
pp. 253-259
Keyword(s):
1999 ◽
Vol 08
(04)
◽
pp. 447-462
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2016 ◽
Vol 25
(08)
◽
pp. 1650045
Keyword(s):
1997 ◽
Vol 06
(05)
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pp. 687-714
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