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.
| Original language | English (US) |
|---|---|
| Article number | 1940005 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 28 |
| Issue number | 11 |
| DOIs | |
| State | Published - Oct 1 2019 |
| Externally published | Yes |
Keywords
- algebra of braids and ties
- Framization
- link invariants
- partition Temperley-Lieb algebra
- Temperley-Lieb algebra
- Yokonuma-Hecke algebra
ASJC Scopus subject areas
- Algebra and Number Theory
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