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Factorizable Sheaves and Quantum Groups : Lecture Notes in Mathematics - R. Bezrukavnikov

Factorizable Sheaves and Quantum Groups

Lecture Notes in Mathematics

Paperback

Published: 20th July 1998
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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.

Introduction
Acknowledgement
Overview
Local
Global (genus 0)
Modular
Intersection Cohomology of Real Arrangements
Configuration Spaces and Quantum Groups
Algebraic discussion
Geometric discussion
Fusion
Category C
Tensor Categories Arising from Configuration Spaces
Category FS
Tensor structure
Functor [phi]
Equivalence
Localization Over P[superscript 1]
Gluing over P[superscript 1]
Semiinfinite cohomology
Global sections
Modular Structure on the Category FS
Heisenberg local system
The modular property of the Heisenberg system
Regular representation
Quadratic degeneration in genus zero
Modular functor
Integral representations of conformal blocks
References
Index of Notation
Index of Terminology
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540646198
ISBN-10: 3540646191
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 290
Published: 20th July 1998
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.63
Weight (kg): 0.43