3 problems

HOMFLY homology differentials conjecture. There is a homology theory $\mathcal H_*$ categorifying the HOMFLY polynomial, with differentials $\{d_N\}$ satisfying those three axioms,…

A sequence of chain complexes of filtered graded vector spaces is said to be homologically $q$-holonomic when it satisfies the proposed notion of homological $q$-holonomicity. For…

Let $K$ be a knot, and let $H^{\Lambda^r}_{i,j,*}(K)$ and $H^{S^r}_{i,j,*}(K)$ denote, respectively, its antisymmetric- and symmetric-coloured HOMFLY homology groups, with indices…