3 problems

Let $\bar{Y}_f$ be the enhanced $y$-ified Khovanov--Rozansky module of the link $L_f$. Let $\widetilde{Q}_{S}^{\vec{x},\vec{y}}$ be the bigraded $\mathbb{C}[\vec{x},\vec{y}]$-modul…

Let $r\leq n$ be nonnegative integers, put $k=n-r$, and let ${\mathbf a}\in({\mathbb Z}_{\geq0})^r$. Define $V_n^=({\mathbf a})$ as the associated graded quotient for the component…

Let $\widehat{D}_k=\sum_{i=1}^n\partial_i^{k+1}x_i$ for $k\geq1$, and define the space of hat-harmonics by … The symmetric group $\mathfrak S_n$ acts by permuting variables, and th…