6 citations · 11 across the 13 of their papers we have counts for
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Commutativity of nilpotent cohomological Hall algebras of
Lucien Hennecart
In this paper, we prove that both the seminilpotent and the fully nilpotent CoHAs of are commutative. This result is in strong contrast with the CoHA of $\mathbf{A}^…
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…
Cohomological Mackey formula for quotient stacks
Lucien Hennecart
In this paper, we construct a restriction morphism on the critical cohomology of an equivariant Landau-Ginzburg model associated to a representation of a reductive group equipped w…
Cohomological integrality for weakly symmetric representations of reductive groups
Lucien Hennecart
In this paper, we prove the integrality conjecture for quotient stacks arising from weakly symmetric representations of reductive groups. Our main result is a decomposition of the…
BPS algebras and generalised Kac-Moody algebras from 2-Calabi-Yau categories
Ben Davison, Lucien Hennecart, Sebastian Schlegel Mejia
We determine the structure of the BPS algebra of 2-Calabi-Yau Abelian categories for which the stack of objects admits a good moduli space. We prove that this algebra is isomorphic…
BPS Lie algebras for totally negative 2-Calabi-Yau categories and nonabelian Hodge theory for stacks
Ben Davison, Lucien Hennecart, Sebastian Schlegel Mejia
We define and study a sheaf-theoretic cohomological Hall algebra for suitably geometric Abelian categories of homological dimension at most two, and a sheaf-theoretic…