6 papers · 1 filter
Cohomological Hall algebras and Quot schemes of curves
Shivang Jindal, Woonam Lim
We study cohomological Hall algebras of curves and their actions on the homology of Quot schemes. We introduce the virtual homology of Quot schemes and show that it is preserved by…
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…
-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…
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…
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…