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math.AG2006★ 11 cited
Formal loops IV: Chiral differential operators
M. Kapranov, E. Vasserot
We relate the gerbe of sheaves of chiral differential operators (CDO) on a algebraic variety X, studied by Gorbounov, Malikov and Schechtman, to the determinantal gerbe of the form…
math.AG2005★ 1 cited
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…
math.AG2004
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…