21 citations · 73 across the 20 of their papers we have counts for
26 papers
Scary Wheels (and Super Shrubs)
Andrei Neguţ, Alexander Tsymbaliuk
We prove the shuffle realization for quantum affine superalgebras of types in the loop realization, in that we construct an isomorphism between each of these algebras and a…
The loop-nilpotent cohomological Hall algebra
Shivang Jindal, Andrei Neguţ
We give an explicit shuffle algebra model for the loop-nilpotent cohomological Hall algebra (CoHA) of a tripled quiver with canonical cubic potential. As consequences, we (1) relat…
Fusion and specialization for type ADE shuffle algebras
Andrei Neguţ, Alexander Tsymbaliuk
Root vectors in quantum groups (of finite type) generalize to fused currents in quantum loop groups ([5]). In the present paper, we construct fused currents as duals to specializat…
Hecke categories, idempotents, and commuting stacks
Eugene Gorsky, Andrei Neguţ
We formulate a connection between a topological and a geometric category. The former is the idempotent completion of the (horizontal) trace of the affine Hecke category, while the…
Generators of the preprojective CoHA of a quiver
Andrei Neguţ
In this short note, we refine a result of Schiffmann-Vasserot, by showing that the localized preprojective cohomological Hall algebra of any quiver is spherical, i.e. generated by…
Reduced quiver quantum toroidal algebras
Andrei Neguţ
We give a generators-and-relations description of the reduced versions of quiver quantum toroidal algebras, which act on the spaces of BPS states associated to (non-compact) toric…