68 citations · 333 across the 29 of their papers we have counts for
9 papers · 1 filter
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…
Affine BPS algebras, W algebras, and the cohomological Hall algebra of
Ben Davison
We introduce affinizations and deformations of the BPS Lie algebra associated to a tripled quiver with potential, and use them to precisely determine the -equivariant cohomologi…
A boson-fermion correspondence in cohomological Donaldson-Thomas theory
Ben Davison
We introduce and study a fermionization procedure for the cohomological Hall algebra of representations of a preprojective algebra, that selectively switches th…
BPS Lie algebras and the less perverse filtration on the preprojective CoHA
Ben Davison
The affinization morphism for the stack of representations of a preprojective algebra is a local model for the morphism from the stack of objects in a gen…
Strong positivity for quantum theta bases of quantum cluster algebras
Ben Davison, Travis Mandel
We construct "quantum theta bases," extending the set of quantum cluster monomials, for various versions of skew-symmetric quantum cluster algebras. These bases consist precisely o…
Positivity for quantum cluster algebras
Ben Davison
Building on work by Kontsevich, Soibelman, Nagao and Efimov, we prove the positivity of quantum cluster coefficients for all skew-symmetric quantum cluster algebras, via a proof of…
Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras
Ben Davison, Sven Meinhardt
This paper concerns the cohomological aspects of Donaldson-Thomas theory for Jacobi algebras and the associated cohomological Hall algebra, introduced by Kontsevich and Soibelman.…
Purity of critical cohomology and Kac's conjecture
Ben Davison
We provide a new proof of the Kac positivity conjecture for an arbitrary quiver . The ingredients are the cohomological integrality theorem in Donaldson-Thomas theory, dimension…