7 citations · 8 across the 4 of their papers we have counts for
4 papers
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…
Divisors on the moduli spaces of stable maps to flag varieties and reconstruction
Dragos Oprea
We determine generators for the codimension 1 Chow group of the moduli spaces of genus zero stable maps to flag varieties G/P. In the case of SL flags, we find all relations betwee…
Tautological classes on the moduli spaces of stable maps to projective spaces
Dragos Oprea
We present a localization proof of the fact that the cohomology of the moduli spaces of genus zero stable maps to projective spaces is entirely tautological. In addition, we obtain…