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Geometry and Quantization of Moduli Spaces

  • Vladimir Fock
  • Andrey Marshakov
  • Florent Schaffhauser
  • Constantin Teleman
  • Richard Wentworth
  • Luis Alvarez Consul
  • Jørgen Ellegaard Andersen
  • Ignasi Mundet i Riera

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Vladimir V. Fock, Andrey Marshakov
    Pages 1-65
  3. Florent Schaffhauser
    Pages 67-108
  4. Constantin Teleman
    Pages 109-164
  5. Richard Wentworth
    Pages 165-219
  6. Back Matter
    Pages 220-220

About this book

Introduction

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.

Keywords

Moduli spaces Riemann surfaces topological quantum field theories integrable systems Klein surfaces

Authors and affiliations

  • Vladimir Fock
    • 1
  • Andrey Marshakov
    • 2
  • Florent Schaffhauser
    • 3
  • Constantin Teleman
    • 4
  • Richard Wentworth
    • 5
  1. 1.Inst. de Recherche Mathématique AvancéeUniversité de Strasbourg et CNRS7 Inst. de Recherche Mathématique AvancéeStrasbourgFrance
  2. 2.Theory DepartmentNational Research University Theory DepartmentMoskowRussia
  3. 3.Universidad de Los Andes BogotáColombia
  4. 4.Dept of MathematicsUniversity of California at Berkele Dept of MathematicsBerkeleyUSA
  5. 5.Department of MathematicsUniversity of Maryland Department of MathematicsCollege ParkUSA

Editors and affiliations

  • Luis Alvarez Consul
    • 1
  • Jørgen Ellegaard Andersen
    • 2
  • Ignasi Mundet i Riera
    • 3
  1. 1.ICMAT, Consejo Superior de InvestigacionUniversidad Autónoma de Madrid ICMAT, Consejo Superior de InvestigacionMadridSpain
  2. 2.Mathematics, RM 1530, FL 325Aarhus University, QGM, Dept of Mathematics, RM 1530, FL 325AarhusDenmark
  3. 3.Dept. Àlgebra i GeometriaUniversitat de Barcelona Dept. Àlgebra i GeometriaBarcelonaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-33578-0
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-33577-3
  • Online ISBN 978-3-319-33578-0
  • Series Print ISSN 2297-0304
  • Series Online ISSN 2297-0312
  • Buy this book on publisher's site