Factorizable Sheaves and Quantum Groups [electronic resource] / by Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman.
Material type: TextSeries: Lecture Notes in Mathematics ; 1691Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1998Description: X, 290 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540692317Subject(s): Mathematics | Geometry, algebraic | Algebra | Algebraic topology | Quantum theory | Mathematics | Algebraic Geometry | Non-associative Rings and Algebras | Algebraic Topology | Quantum PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 516.35 LOC classification: QA564-609Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1803 |
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 .
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.
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