We give a presentation of the moduli stack of toric vector bundles with fixed equivariant total
Chern class as a quotient of a fine moduli scheme of framed bundles by a linear group …

Extending work of Klyachko and Perling, we develop a combinatorial description of pure
equivariant sheaves of any dimension on an arbitrary nonsingular toric variety X. Using …

We give an explicit description of toric sheaves on the weighted projective plane $\mathbb
{P}(a, b, c) $ viewed as a toric Deligne-Mumford stack. The integers $(a, b, c) $ are not …

Let X be a complete toric variety equipped with the action of a torus T, and G a reductive
algebraic group, defined over an algebraically closed field K. We introduce the notion of a …

Using the theory of Klyachko filtrations for reflexive sheaves on toric varieties, we give a
description of toric foliations and their singularities in terms of combinatorial data. We extend …

Let X be the total space of the canonical bundle of P^ 2. We study the generalized
Donaldson-Thomas invariants, defined in the work of Joyce-Song, of the moduli spaces of …

Let be the moduli space of rank 2 stable torsion free sheaves with Chern classes on a
smooth 3-fold. When is toric with torus, we describe the-fixed locus of the moduli space …

We study global primary decompositions in the category of sheaves on a scheme which are
equivariant under the action of an algebraic group. We show that equivariant primary …

Extending work of Klyachko and Perling, we develop a combinatorial description of pure
equivariant sheaves of any dimension on an arbitrary nonsingular toric variety X. Using GIT …

Motivated by S-duality modularity conjectures in string theory, we study the Donaldson-
Thomas type invariants of pure 2-dimensional sheaves inside a nonsingular threefold X in …