A bstract We consider several topologically twisted Chern-Simons-matter theories and
propose boundary VOAs whose module categories should model the category of line …

We describe the topological A and B twists of 3d N= 4 theories of hypermultiplets gauged by
N= 4 vector multiplets as certain deformations of the holomorphic–topological (HT) twist of …

Given a semisimple element in the loop Lie algebra of a reductive group, we construct a
quasi-coherent sheaf on a partial resolution of the trigonometric commuting variety of the …

These notes cover the lectures of the first named author at 2021 IHES Summer School on
“Enumerative Geometry, Physics and Representation Theory” with additional details and …

We compute the Poincar\'e polynomials of the compactified Jacobians for plane curve
singularities with Puiseaux exponents $(nd, md, md+ 1) $, and relate them to the …

Let $ R $ be the complete local ring of a complex plane curve germ and $ S $ its
normalization. We propose a conjecture relating the virtual weight polynomials of the Hilbert …

In this note we explicitly construct an action of the rational Cherednik algebra H 1, m/n (S n,
ℂ n) corresponding to the permutation representation of S n on the ℂ∗-equivariant …

Degenerating the action of the elliptic Hall algebra on the Fock space, we give a
combinatorial formula for the Shalika germs of tamely ramified regular semisimple elements …

Using pagoda flop transitions between smooth projective threefolds, a relation is derived
between the Euler numbers of moduli spaces of stable pairs which are scheme-theoretically …

The HOMFLY polynomial of the $(m, n) $ torus knot $ T_ {m, n} $ can be extracted from the
doubly graded character of the finite-dimensional representation $\mathrm {L} _ {\frac {m}{n}} …