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Sheaves on abelian surfaces and Strange Duality
Alina Marian, Dragos Oprea
We formulate three versions of a strange duality conjecture for sections of the Theta bundles on the moduli spaces of sheaves on abelian surfaces. As supporting evidence, we check…
A tour of theta dualities on moduli spaces of sheaves
Alina Marian, Dragos Oprea
The purpose of this paper is twofold. First, we survey known results about theta dualities on moduli spaces of sheaves on curves and surfaces. Secondly, we establish new such duali…
On the intersection theory of the moduli space of rank two bundles
Alina Marian, Dragos Oprea
We give an algebro-geometric derivation of the known intersection theory on the moduli space of stable rank 2 bundles of odd degree over a smooth curve of genus g. We lift the comp…
Virtual intersections on the Quot-scheme and Vafa-Intriligator formulas
Alina Marian, Dragos Oprea
We construct a virtual fundamental class on the Quot scheme parametrizing quotients of a trivial bundle on a curve. We use the virtual localization formula to calculate virtual int…