On the colored HOMFLY-PT, multivariable and Kashaev link invariants. (English) Zbl 1182.57007
The authors consider a family of multivariable link invariants \(\{M_{\mathfrak {sl}(m|1)}^0\}_{m\geq 2}\). They show that the family generalizes the colored HOMFLY-PT polynomials and contains Kashaev’s invariants. The conjecture is that this family generalizes the multivariable Alexander invariants.
Reviewer: Ostap M. Davydov (Chelyabinsk)
MSC:
| 57M27 | Invariants of knots and \(3\)-manifolds (MSC2010) |
| 57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
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