We define new invariants of 3d Calabi-Yau categories endowed with a stability structure.
Intuitively, they count the number of semistable objects with fixed class in the K-theory of the …

Abstract Donaldson–Thomas invariants $ DT^\alpha (\tau) $ are integers which 'count'$\tau
$-stable coherent sheaves with Chern character $\alpha $ on a Calabi–Yau 3-fold $ X …

A `Darboux theorem' for shifted symplectic structures on derived Artin stacks, with applications
Page 1 msp Geometry & Topology 19 (2015) 1287–1359 A ‘Darboux theorem’ for shifted …

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

We use Joyce's theory of motivic Hall algebras to prove that reduced Donaldson-Thomas
curve-counting invariants on Calabi-Yau threefolds coincide with stable pair invariants and …

The Donaldson-Thomas invariant is a curve counting invariant on Calabi-Yau 3-folds via
ideal sheaves. Another counting invariant via stable pairs is introduced by Pandharipande …

Enumerative invariants in Algebraic Geometry'count'$\tau $-(semi) stable objects $ E $ with
fixed topological invariants $[E]= a $ in some geometric problem, using a virtual class $[{\cal …

We take another approach to Hitchin's strategy of computing the cohomology of moduli
spaces of Higgs bundles by localization with respect to the circle action. Our computation is …

The main result of this paper is the statement that the Hodge theoretic Donaldson–Thomas
invariant for a quiver with zero potential and a generic stability condition agrees with the …

This is the second in a series on configurations in an abelian category A. Given a finite poset
(I,≼), an (I,≼)-configuration (σ, ι, π) is a finite collection of objects σ (J) and morphisms ι (J, K) …