Symplectic 4-Manifolds and Algebraic Surfaces

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 2–10, 2003

  • Denis Auroux
  • Marco Manetti
  • Paul Seidel
  • Bernd Siebert
  • Ivan Smith
  • Fabrizio Catanese
  • Gang Tian

Part of the Lecture Notes in Mathematics book series (LNM, volume 1938)

Table of contents

About this book

Introduction

Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics.

The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher.

Keywords

Dehn twists Lefschetz fibrations Monodromy algebraic surfaces moduli spaces singularity theory symplectic isotopy

Authors and affiliations

  • Denis Auroux
    • 1
  • Marco Manetti
    • 2
  • Paul Seidel
    • 3
  • Bernd Siebert
    • 4
  • Ivan Smith
    • 5
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Dipartimento di Matematica “G. Castelnuovo”Università di Roma “La Sapienza”Italy
  3. 3.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  4. 4.Mathematisches InstitutAlbert-Ludwigs-Universität FreiburgGermany
  5. 5.Centre for Mathematical SciencesUniversity of CambridgeUK

Editors and affiliations

  • Fabrizio Catanese
    • 1
  • Gang Tian
    • 2
  1. 1.Mathematisches Institut Lehrstuhl Mathematik VIIIUniversität BayreuthGermany
  2. 2.Department of MathematicsPrinceton UniversityPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78279-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78278-0
  • Online ISBN 978-3-540-78279-7
  • Series Print ISSN 0075-8434
  • About this book