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Deformation Spaces

Perspectives on algebro-geometric moduli

  • Book
  • © 2010

Overview

Editors:
  1. Hossein Abbaspour

    1. Département de mathématiques, Université de Nantes, Nantes Cedex 3, France

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  2. Matilde Marcolli

    1. Mathematics Department, California Institute of Technology, Pasadena, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Thomas Tradler

    1. Department of Mathematics N-711, New York City College of Technology, Brooklyn, USA

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  • Topics of Modern Mathematics

Part of the book series: Aspects of Mathematics (ASMA)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-vi
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  2. On the Hochschild and Harrison (co)homology of C ∞-algebras and applications to string topology

    • Grégory Ginot
    Pages 1-51

  3. What is the Jacobian of a Riemann Surface with Boundary?

    • Thomas M. Fiore, Igor Kriz
    Pages 53-74

  4. Pure weight perfect Modules on divisorial schemes

    • Toshiro Hiranouchi, Satoshi Mochizuki
    Pages 75-89

  5. Higher localized analytic indices and strict deformation quantization

    • Paulo Carrillo Rouse
    Pages 91-111

  6. An algebraic proof of Bogomolov-Tian-Todorov theorem

    • Donatella Iacono, Marco Manetti
    Pages 113-133

  7. Quantizing deformation theory

    • John Terilla
    Pages 135-141

  8. L∞-interpretation of a classification of deformations of Poisson structures in dimension three

    • Anne Pichereau
    Pages 143-173
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Keywords

About this book

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.

Editors and Affiliations

  • Département de mathématiques, Université de Nantes, Nantes Cedex 3, France

    Hossein Abbaspour

  • Mathematics Department, California Institute of Technology, Pasadena, USA

    Matilde Marcolli

  • Department of Mathematics N-711, New York City College of Technology, Brooklyn, USA

    Thomas Tradler

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

  • Editors: Hossein Abbaspour, Matilde Marcolli, Thomas Tradler

  • Series Title: Aspects of Mathematics

  • DOI: https://doi.org/10.1007/978-3-8348-9680-3

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2010

  • Hardcover ISBN: 978-3-8348-1271-1Published: 26 March 2010

  • Softcover ISBN: 978-3-8348-2669-5Published: 16 November 2014

  • eBook ISBN: 978-3-8348-9680-3Published: 21 April 2010

  • Series ISSN: 0179-2156

  • Edition Number: 1

  • Number of Pages: VII, 173

  • Topics: Algebraic Geometry, Geometry, Algebra

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