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 …

For orbifolds admitting a crepant resolution and satisfying a hard Lefschetz condition, we
formulate a conjectural equivalence between the Gromov-Witten theories of the orbifold and …

Let X be a Calabi-Yau 3-fold over C. The Donaldson-Thomas invariants of X are integers
DT^ a (t) which count stable sheaves with Chern character a on X, with respect to a Gieseker …

Let X and Y be K-equivalent toric Deligne–Mumford stacks related by a single toric wall-
crossing. We prove the Crepant Transformation Conjecture in this case, fully-equivariantly …

Let $ G $ be a finite subgroup of $\mathrm {SU}(4) $ such that its elements have age at most
one. In the first part of this paper, we define $ K $-theoretic stable pair invariants on a …

We derive two multivariate generating functions for three-dimensional (3D) Young diagrams
(also called plane partitions). The variables correspond to a coloring of the boxes according …

We develop a topological vertex formalism for computing the Donaldson–Thomas invariants
of Calabi–Yau orbifolds. The basic combinatorial object is the orbifold vertex VλμνG, a …

In establishing a more general version of the McKay correspondence, we prove Auslander's
theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter …

We prove the crepant resolution conjecture for Donaldson–Thomas invariants of hard
Lefschetz 3-Calabi–Yau (CY3) orbifolds, formulated by Bryan–Cadman–Young, interpreting …

We construct noncommutative Donaldson–Thomas invariants associated with abelian
orbifold singularities by analyzing the instanton contributions to a six-dimensional …