2 6 N ov 1 99 9 External tensor product of categories of perverse sheaves

N ov 2 00 3 External tensor product of categories of perverse sheaves

Under some assumptions we prove that the Deligne tensor product of categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X × Y . The Deligne external tensor product functor is identified with the geometrical external tensor product.

External tensor product of categories of perverse sheaves

Under some assumptions we prove that the Deligne tensor product of categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X × Y . The Deligne external tensor product functor is identified with the geometrical external tensor product.

v 1 7 N ov 1 99 6 ON INNER PRODUCT IN MODULAR TENSOR CATEGORIES . II INNER PRODUCT ON CONFORMAL BLOCKS AND AFFINE INNER PRODUCT IDENTITIES

Localization of U-modules. Iii. Tensor Categories Arising from Configuration Spaces

In Chapter 1 we associate with every Cartan matrix of finite type and a non-zero complex number ζ an abelian artinian category FS. We call its objects finite factorizable sheaves. They are certain infinite collections of perverse sheaves on configuration spaces, subject to a compatibility (”factorization”) and finiteness conditions. In Chapter 2 the tensor structure on FS is defined using funct...

ar X iv : 0 90 2 . 01 47 v 1 [ m at h . A G ] 1 F eb 2 00 9 INTRODUCTION TO STAGGERED SHEAVES PRAMOD

This note is an expository account of the theory of staggered sheaves, based on a series of lectures given by the author at RIMS (Kyoto) in October 2008. Perverse sheaves have become a tool of great importance in representation theory, largely because of the remarkable way in which they provide a link between geometry and algebra. A single perverse sheaf contains information reminiscent of clas...