Publications (13)
Conformal blocks and equivariant cohomology
R. Rimányi, V. Schechtman, A. Varchenko
We show that the conformal blocks constructed in the previous article by the first and the third author may be described as certain integrals in equivariant cohomology. When the bu…
Produits Gamma et vecteurs propres de matrices de Cartan
V. Cohen-Aptel, V. Schechtman
We propose a formula expressing Perron - Frobenius eigenvectors of Cartan matrices in terms of products of values of the Gamma function.
BGG resolutions via configuration spaces
M. Falk, V. Schechtman, A. Varchenko
We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik-Solomon manifold; it allows us to compute the intersection cohomology of certa…
Localization of -modules. IV. Localization on
M. Finkelberg, V. Schechtman
This article is a sequel to hep-th/9411050, q-alg/9412017, q-alg/9503013. Given a collection of finite factorizable sheaves $\{\CX_k\}$, we construct here some perverse sheaves…
Localization of -modules. III. Tensor categories arising from configuration spaces
M. Finkelberg, V. Schechtman
This article is a sequel to hep-th/9411050, q-alg/9412017. In Chapter 1 we associate with every Cartan matrix of finite type and a non-zero complex number an abelian artinian…
Deformations of chiral algebras and quantum cohomology of toric varieties
F. Malikov, V. Schechtman
We reproduce the quantum cohomology of toric varieties (and of some hypersurfaces in projective spaces) as the cohomology of certain vertex algebras with differential. The deformat…