TY  - BOOK
AU  - Bezrukavnikov,Roman
AU  - Finkelberg,Michael
AU  - Schechtman,Vadim
ED  - SpringerLink (Online service)
TI  - Factorizable Sheaves and Quantum Groups
T2  - Lecture Notes in Mathematics,
SN  - 9783540692317
AV  - QA564-609 
U1  - 516.35 23
PY  - 1998///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Algebra
KW  - Algebraic topology
KW  - Quantum theory
KW  - Algebraic Geometry
KW  - Non-associative Rings and Algebras
KW  - Algebraic Topology
KW  - Quantum Physics
N1  - Acknowledgement -- Overview -- Intersection cohomology of real arrangements -- Configuration spaces and quantum groups -- Tensor categories arising from configuration spaces -- Localization on ?1 -- Modular structure on the category
N2  - The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces. As an application, the bundles of conformal blocks over the moduli spaces of curves are studied. The book is intended for specialists in group representations and algebraic geometry
UR  - http://dx.doi.org/10.1007/BFb0092343
ER  -