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Factorizable Sheaves and Quantum Groups

  • Authors
  • Roman Bezrukavnikov
  • Michael Finkelberg
  • Vadim Schechtman

Part of the Lecture Notes in Mathematics book series (LNM, volume 1691)

Table of contents

  1. Front Matter
    Pages I-X
  2. Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 1-4
  3. Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 5-5
  4. Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 6-49
  5. Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 50-70
  6. Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 71-121
  7. Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 122-172
  8. Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 173-196
  9. Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 197-251
  10. Back Matter
    Pages 252-289

About this book

Introduction

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.

Keywords

Group representation Quantum Groups cohomology conformal field theory homology intersection cohomology moduli spaces of curves

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0092343
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-64619-8
  • Online ISBN 978-3-540-69231-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site