Shivang Jindal

activity

20192026

collaborators

9 papers

math.AG2026

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…

math.RT2026

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…

math.RT2026

$K$ -theoretic Hall algebras and Coulomb branches

Shivang Jindal, Andrei Neguţ

We construct a surjective homomorphism from the (suitably interpreted) double loop-nilpotent $K$ -theoretic Hall algebra to the Coulomb branch algebra of a quiver gauge theory, usin…

math.RT2026

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…

math.RT2026

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…

math.RT2026

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…

math.RT2024

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…

math.RT2019

Higher Casimir operators and the Okounkov Polynomials

Shivang Jindal

In this paper, we study a certain specialization of Okounkov polynomials and its connection with the eigenfunctions of higher Casimir operators for the complex semi-simple lie alge…

math.RT2019

Projective normality of torus quotients of flag varieties

Arpita Nayek, Santosha Kumar Pattanayak, Shivang Jindal

Let $G = S L_{n} (C)$ and $T$ be a maximal torus in $G$ . We show that the quotient $T \\ G / P_{α_{1}} \cap P_{α_{2}}$ is projectively normal with respect to the de…

Cohomological Hall algebras and Quot schemes of curves

The loop-nilpotent cohomological Hall algebra

K-theoretic Hall algebras and Coulomb branches

BPS Lie algebras, perverse filtrations and shuffle algebras

Critical CoHAs, vertex coalgebras and Deformed Drinfeld coproducts

Degenerations of CoHAs of 2-Calabi-Yau categories

CoHA of Cyclic Quivers and an Integral Form of Affine Yangians

Higher Casimir operators and the Okounkov Polynomials

Projective normality of torus quotients of flag varieties

$K$ -theoretic Hall algebras and Coulomb branches