3 problems

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Universality conjecture for the summation domain in differential expansion
Let $R$ be a representation and let $M_R$ denote the summation domain appearing in the differential expansion of knot invariants. For twist knots, the natural choice is…
Conjectureopendifferential-expansion knot-theory representation-theoryarXiv posted 2 days ago
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The differential-expansion conjecture for HOMFLY and other knot polynomials
Let $R$ be a representation, let $\bar R$ be its conjugate, and let $R\otimes\bar R$ denote the representation product. For a knot $\mathcal K$ , write $H_R^{\mathcal K}$ for its HO…
Conjectureopendifferential-expansion knot-polynomials representation-theoryarXiv posted 2 days ago
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Existence and uniqueness conjecture for the polynomial correction terms
Existence and uniqueness conjecture. The resulting system of linear equations is consistent: a solution exists that satisfies all the vanishing constraints for infinitely many $m$ ,…
Conjectureopendifferential-expansion knot-theoryarXiv posted 2 days ago

Universality conjecture for the summation domain in differential expansion