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Factorizable Sheaves and Quantum Groups

  • Book
  • © 1998

Overview

Authors:
  1. Roman Bezrukavnikov
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  2. Michael Finkelberg
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  3. Vadim Schechtman
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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
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  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 ℙ1

    • 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
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Keywords

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.

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