1.4k citations
- Massachusetts Institute of TechnologyUS5 papers
- University of California, Santa BarbaraUS5 papers
- California Institute of TechnologyUS3 papers
- Goethe University FrankfurtDE3 papers
- Karlsruhe Institute of TechnologyDE3 papers
- Albert Einstein College of MedicineUS2 papers
- Center for Theoretical Biological PhysicsUS2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Chalmers University of TechnologySE2 papers
- Columbia UniversityUS2 papers
- Hebrew University of JerusalemIL2 papers
- Indiana UniversityUS2 papers
6 papers · 1 filter
Formal loops II: A local Riemann-Roch theorem for determinantal gerbes
M. Kapranov, E. Vasserot
If V is a bundle of Tate vector spaces over a base B, its determinantal gerbe has a class C_1(V) in the second cohomology group of the sheaf of invertible functions which can be se…
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…
Modules over the small quantum group and semi-infinite flag manifold
S. Arkhipov, R. Bezrukavnikov, A. Braverman +2
We develop a theory of perverse sheaves on the semi-infinite flag manifold , and show that the subcategory of Iwahori-monodromy perverse sheaves is equiv…
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…
Pointed trees of projective spaces
Linda Chen, Angela Gibney, Daniel Krashen
We introduce a smooth projective variety which compactifies the space of configurations of distinct points on affine -space modulo translation and homothety. The p…
Toric arc schemes and quantum cohomology of toric varieties
Sergey Arkhipov, Mikhail Kapranov
We describe the quantum cohomology ring of a toric Fano variety in terms of the usual topological cohomology ring for an auxiliary infinite-dimensional scheme. This scheme is a…