A PARITY AND A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL LINKS
2013 ◽
Vol 22
(13)
◽
pp. 1350073
◽
Keyword(s):
We introduce a parity of classical crossings of virtual link diagrams which extends the Gaussian parity of virtual knot diagrams and the odd writhe of virtual links that extends that of virtual knots introduced by Kauffman [A self-linking invariants of virtual knots, Fund. Math.184 (2004) 135–158]. Also, we introduce a multi-variable polynomial invariant for virtual links by using the parity of classical crossings, which refines the index polynomial introduced in [Index polynomial invariants of virtual links, J. Knot Theory Ramifications19(5) (2010) 709–725]. As consequences, we give some properties of our invariant, and raise some examples.
2014 ◽
Vol 23
(12)
◽
pp. 1450066
◽
Keyword(s):
2016 ◽
Vol 25
(08)
◽
pp. 1650050
◽
2012 ◽
Vol 21
(14)
◽
pp. 1250128
Keyword(s):
2013 ◽
Vol 22
(12)
◽
pp. 1341002
◽
Keyword(s):
Keyword(s):
2017 ◽
Vol 26
(01)
◽
pp. 1750007
Keyword(s):
2015 ◽
Vol 24
(06)
◽
pp. 1550036
◽
Keyword(s):
2014 ◽
Vol 23
(07)
◽
pp. 1460003
◽
Keyword(s):
2000 ◽
Vol 09
(01)
◽
pp. 93-106
◽
Keyword(s):
2009 ◽
Vol 18
(05)
◽
pp. 625-649
◽
Keyword(s):