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  • Book
  • © 1998

Factorizable Sheaves and Quantum Groups

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-X
  2. Introduction

    • Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 1-4
  3. Acknowledgement

    • Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 5-5
  4. Overview

    • Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 6-49
  5. Intersection cohomology of real arrangements

    • Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 50-70
  6. Configuration spaces and quantum groups

    • Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 71-121
  7. Tensor categories arising from configuration spaces

    • Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 122-172
  8. Localization on â„™1

    • Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 173-196
  9. Modular structure on the category \(\mathcal{F}\mathcal{S}\)

    • Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
    Pages 197-251
  10. Back Matter

    Pages 252-289

About this book

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

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions