13 papers
BPS Lie algebras, perverse filtrations and shuffle algebras
Shivang Jindal, Andrei Neguţ
We give an explicit description of the BPS Lie algebra of any quiver with zero potential, by relating the perverse filtration on the cohomological Hall algebra with certain limit c…
Folding shuffle algebras and twisted -characters
Andrei Neguţ, Keyu Wang
Using our new notion of folding shuffle algebras, we prove a conjecture of Hernandez on the equality between certain -characters of quantum untwisted affine algebra modules and…
A new new coproduct on quantum loop algebras
Andrei Neguţ
Quantum loop algebras generalize for simple Lie algebras , and they include examples such as quantum affinizations of Kac-Moody Lie alge…
-theoretic Hall algebras and Coulomb branches
Shivang Jindal, Andrei Neguţ
We construct a surjective homomorphism from the (suitably interpreted) double loop-nilpotent -theoretic Hall algebra to the Coulomb branch algebra of a quiver gauge theory, usin…
Shuffle algebras, lattice paths and quantum toroidal
Alexandr Garbali, Andrei Neguţ
We describe and compute various families of commuting elements of the matrix shuffle algebra of type , which is expected to be isomorphic to quantum toroidal $…
The cohomology of the Quot scheme on a smooth curve as a Yangian representation
Alina Marian, Andrei Neguţ
We describe the action of the shifted Yangian of sl_2 on the cohomology groups of the Quot schemes of 0-dimensional quotients on a smooth projective curve. We introduce a commuting…