We determine the structure of the BPS algebra of $2 $-Calabi-Yau Abelian categories
whose stack of objects admits a good moduli space. We prove that this algebra is …

We propose a general conjecture for the mixed Hodge polynomial of the generic character
varieties of representations of the fundamental group of a Riemann surface of genus g to GL …

We prove that the number of geometrically indecomposable vector bundles of fixed rank r
and degree d over a smooth projective curve X defined over a finite field is given by a …

Abstract We study the Borel–Moore homology of stacks of representations of preprojective
algebras Π Q, via the study of the DT theory of the undeformed 3-Calabi–Yau completion Π …

We give a cohomological interpretation of both the Kac polynomial and the refined
Donaldson-Thomas-invariants of quivers. This interpretation yields a proof of a conjecture of …

We introduce a new perverse filtration on the Borel-Moore homology of the stack of
representations of a preprojective algebra $\Pi_Q $, for arbitrary $ Q $, by proving that the …

Let $ Q $ be an arbitrary finite quiver. We use nonabelian stable envelopes to relate
representations of the Maulik-Okounkov Lie algebra $\mathfrak {g}^{MO} _Q $ to …

We study the cohomological Hall algebra Y♭ of a Lagrangian substack Λ♭ of the moduli
stack of representations of the preprojective algebra of an arbitrary quiver Q, and their …

We introduce a version of the P= W conjecture relating the Borel–Moore homology of the
stack of representations of the fundamental group of a genus g Riemann surface with the …

We define the cohomological Hall algebra ${AHA} _ {Higgs (X)} $ of the ($2 $-dimensional)
Calabi-Yau category of Higgs sheaves on a smooth projective curve $ X $, as well as its …