Cn-moves and the difference of Jones polynomials for links
2017 ◽
Vol 26
(05)
◽
pp. 1750029
◽
Keyword(s):
The Jones polynomial [Formula: see text] for an oriented link [Formula: see text] is a one-variable Laurent polynomial link invariant discovered by Jones. For any integer [Formula: see text], we show that: (1) the difference of Jones polynomials for two oriented links which are [Formula: see text]-equivalent is divisible by [Formula: see text], and (2) there exists a pair of two oriented knots which are [Formula: see text]-equivalent such that the difference of the Jones polynomials for them equals [Formula: see text].
2016 ◽
Vol 25
(02)
◽
pp. 1650011
Keyword(s):
2017 ◽
Vol 26
(11)
◽
pp. 1750062
2008 ◽
Vol 06
(supp01)
◽
pp. 773-778
◽
1991 ◽
Vol 109
(1)
◽
pp. 83-103
◽
2008 ◽
Vol 17
(08)
◽
pp. 925-937
2006 ◽
Vol 15
(10)
◽
pp. 1279-1301
2010 ◽
Vol 19
(12)
◽
pp. 1571-1595
◽
2010 ◽
Vol 19
(08)
◽
pp. 1001-1023
◽
2004 ◽
Vol 15
(09)
◽
pp. 959-965
◽
2019 ◽
Vol 28
(03)
◽
pp. 1950004
Keyword(s):