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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 invariant is proved both… Click to show full abstract
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 invariant is proved both algebraically and diagrammatically as well as via a closed combinatorial formula. This new invariant is able to distinguish more pairs of nonisotopic links than the original Jones polynomial, such as the Thistlethwaite link from the unlink with two components.
Keywords:
generalization jones;
jones polynomial;
variable generalization;
new two;
two variable
Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2019
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Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!