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© 2010

Deformation Spaces

Perspectives on algebro-geometric moduli

  • Hossein Abbaspour
  • Matilde Marcolli
  • Thomas Tradler
Book

Table of contents

About this book

Introduction

The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics.
This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn.

Contributions by Grégory Ginot, Thomas M. Fiore and Igor Kriz, Toshiro Hiranouchi and Satoshi Mochizuki, Paulo Carrillo Rouse, Donatella Iacono and Marco Manetti, John Terilla, Anne Pichereau

- Researchers in the fields of deformation theory, noncommutative geometry, algebraic topology, mathematical physics
- Advanced graduate students in mathematics

Dr. Hossein Abbaspour, Department of Mathematics, Université de Nantes, France.
Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA.
Dr. Thomas Tradler, Department of Mathematics, New York City College of Technology (CUNY), New York, USA.

Keywords

Hochschild Cohomology algebraic geometry algebraic topology deformation theory mathematical physics noncommutative geometry quantum field theory

Editors and affiliations

  • Hossein Abbaspour
    • 1
  • Matilde Marcolli
    • 2
  • Thomas Tradler
    • 3
  1. 1.Département de mathématiquesUniversité de NantesNantes Cedex 3France
  2. 2.Mathematics DepartmentCalifornia Institute of TechnologyPasadenaUSA
  3. 3.Department of Mathematics N-711New York City College of TechnologyBrooklynUSA

About the editors

Dr. Hossein Abbaspour, Department of Mathematics, Université de Nantes, France.
Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA.
Dr. Thomas Tradler, Department of Mathematics, New York City College of Technology (CUNY), New York, USA.

Bibliographic information

  • Book Title Deformation Spaces
  • Book Subtitle Perspectives on algebro-geometric moduli
  • Authors Hossein Abbaspour
    Matilde Marcolli
    Thomas Tradler
  • DOI https://doi.org/10.1007/978-3-8348-9680-3
  • Copyright Information Vieweg+Teubner Verlag | GWV Fachverlage GmbH, Wiesbaden 2010
  • Publisher Name Vieweg+Teubner
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-8348-1271-1
  • Softcover ISBN 978-3-8348-2669-5
  • eBook ISBN 978-3-8348-9680-3
  • Edition Number 1
  • Number of Pages VII, 173
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Geometry
    Geometry
    Algebra
  • Buy this book on publisher's site
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