6 papers
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…
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…
-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…
Critical CoHAs, vertex coalgebras and Deformed Drinfeld coproducts
Shivang Jindal, Sarunas Kaubrys, Alexei Latyntsev
We construct a vertex coproduct on the Kontsevich--Soibelman cohomological Hall algebra (CoHA) of a quiver with potential, following Joyce (2018). We show it forms a vertex bialgeb…
Degenerations of CoHAs of 2-Calabi-Yau categories
Lucien Hennecart, Shivang Jindal
By work of Davison and Meinhardt, the cohomological Hall algebra of a symmetric quiver with potential admits a geometrically defined filtration (the perverse filtration) whose asso…
CoHA of Cyclic Quivers and an Integral Form of Affine Yangians
Shivang Jindal
We calculate the deformed and non-deformed cohomological Hall algebra (CoHA) of the preprojective algebra for the case of cyclic quivers by studying the Kontsevich-Soibelman CoHA a…