arXiv Analytics

Sign in

arXiv:1608.01812 [math.GT]AbstractReferencesReviewsResources

A new two-variable generalization of the Jones polynomial

Dimos Goundaroulis, Sofia Lambropoulou

Published 2016-08-05Version 1

We present a new 2-variable generalization of the Jones polynomial that can be defined through the skein relation of the Jones polynomial. The well-definedness of this new generalization is proved algebraically. We also give a closed combinatorial formula for this new classical link invariant.

Comments: 15 pages, 1 figure
Categories: math.GT
Subjects: 57M25, 57M27, 20C08, 20F36
Related articles: Most relevant | Search more
arXiv:math/0201221 [math.GT] (Published 2002-01-23, updated 2002-11-15)
A homological definition of the Jones polynomial
arXiv:0909.2545 [math.GT] (Published 2009-09-14, updated 2010-07-15)
An adelic extension of the Jones polynomial
arXiv:0910.4912 [math.GT] (Published 2009-10-26, updated 2014-01-13)
The Jones polynomial and boundary slopes of alternating knots