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Birkhäuser

Geometry and Quantization of Moduli Spaces

  • Textbook
  • © 2016

Overview

Authors:
  1. Vladimir Fock

    1. Inst. de Recherche Mathématique Avancée, Université de Strasbourg et CNRS7 Inst. de Recherche Mathématique Avancée, Strasbourg, France

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  2. Andrey Marshakov

    1. Theory Department, National Research University Theory Department, Moskow, Russia

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  3. Florent Schaffhauser

    1. Universidad de Los Andes , Bogotá, Colombia

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  4. Constantin Teleman

    1. Dept of Mathematics, University of California at Berkele Dept of Mathematics, Berkeley, USA

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  5. Richard Wentworth

    1. Department of Mathematics, University of Maryland Department of Mathematics, College Park, USA

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Editors:
  1. Luis Alvarez Consul

    1. ICMAT, Consejo Superior de Investigacion, Universidad Autónoma de Madrid ICMAT, Consejo Superior de Investigacion, Madrid, Spain

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  2. Jørgen Ellegaard Andersen

    1. Mathematics, RM 1530, FL 325, Aarhus University, QGM, Dept of Mathematics, RM 1530, FL 325, Aarhus, Denmark

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  3. Ignasi Mundet i Riera

    1. Dept. Àlgebra i Geometria, Universitat de Barcelona Dept. Àlgebra i Geometria, Barcelona, Spain

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  • Presents introductory lectures on different aspects of the modern perspective on moduli spaces of local systems on surfaces
  • Considers both classic and quantum aspects of moduli spaces
  • Includes contributions by leading experts in the field

Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-x
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  2. Loop Groups, Clusters, Dimers and Integrable Systems

    • Vladimir V. Fock, Andrey Marshakov
    Pages 1-65

  3. Lectures on Klein Surfaces and Their Fundamental Group

    • Florent Schaffhauser
    Pages 67-108

  4. Five Lectures on Topological Field Theory

    • Constantin Teleman
    Pages 109-164

  5. Higgs Bundles and Local Systems on Riemann Surfaces

    • Richard Wentworth
    Pages 165-219

  6. Back Matter

    Pages 220-220
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Keywords

About this book

This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to compact Riemann surfaces, and are presented from both classical and quantum perspectives.

Authors, Editors and Affiliations

  • ICMAT, Consejo Superior de Investigacion, Universidad Autónoma de Madrid ICMAT, Consejo Superior de Investigacion, Madrid, Spain

    Luis Alvarez Consul

  • Mathematics, RM 1530, FL 325, Aarhus University, QGM, Dept of Mathematics, RM 1530, FL 325, Aarhus, Denmark

    Jørgen Ellegaard Andersen

  • Dept. Àlgebra i Geometria, Universitat de Barcelona Dept. Àlgebra i Geometria, Barcelona, Spain

    Ignasi Mundet i Riera

  • Inst. de Recherche Mathématique Avancée, Université de Strasbourg et CNRS7 Inst. de Recherche Mathématique Avancée, Strasbourg, France

    Vladimir Fock

  • Theory Department, National Research University Theory Department, Moskow, Russia

    Andrey Marshakov

  • Universidad de Los Andes , Bogotá, Colombia

    Florent Schaffhauser

  • Dept of Mathematics, University of California at Berkele Dept of Mathematics, Berkeley, USA

    Constantin Teleman

  • Department of Mathematics, University of Maryland Department of Mathematics, College Park, USA

    Richard Wentworth

About the editors

Vladimir V. Fock  is Professor at the Institut de Recherche Mathématique Avancée in Strasbourg.
Andrey Marshakov is Professor at the National Research University Higher School of Economics in Moscow.

Florent Schaffhauser is Associate Professor at Universidad de Los Andes in Bogotá.

Constantin Teleman is Professor at the University of California in Berkeley.

Richard A. Wentworth is Professor at the University of Maryland.







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