This book is an introduction to the representation theory of quivers and finite dimensional
algebras. It gives a thorough and modern treatment of the algebraic approach based on …

This paper concerns the cohomological aspects of Donaldson–Thomas theory for Jacobi
algebras and the associated cohomological Hall algebra, introduced by Kontsevich and …

We define and study a sheaf-theoretic cohomological Hall algebra for suitably geometric
Abelian categories $\mathcal {A} $ of homological dimension at most two, and a sheaf …

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 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 …

Pursuing the similarity between the Kontsevich–Soibelman construction of the
cohomological Hall algebra (CoHA) of BPS states and Lusztig's construction of canonical …

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 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 …