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Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

  • Claudio Bartocci
  • Ugo Bruzzo
  • Daniel Hernández Ruipérez

Part of the Progress in Mathematics book series (PM, volume 276)

Table of contents

  1. Front Matter
    Pages 1-16
  2. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 1-30
  3. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 31-79
  4. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 81-109
  5. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 111-146
  6. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 147-182
  7. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 183-232
  8. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 233-280
  9. Fernando Sancho
    Pages 281-337
  10. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 339-345
  11. Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez
    Pages 347-358
  12. Emanuele Macrì
    Pages 359-395
  13. Back Matter
    Pages 1-27

About this book

Introduction

Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character.

Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph.

Key features:

* Basic constructions and definitions are presented in preliminary background chapters

* Presentation explores applications and suggests several open questions

* Extensive bibliography and index

This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.

Keywords

Fourier-Mukai partners Gauge theory Integral functors Nahm transforms Stability conditions birational geometry mathematical physics

Authors and affiliations

  • Claudio Bartocci
    • 1
  • Ugo Bruzzo
    • 2
  • Daniel Hernández Ruipérez
    • 3
  1. 1.Dipto. MatematicaUniversità GenovaGenovaItaly
  2. 2.Studi Avanzati (SISSA)Scuola Internazionale Superiore diTriesteItaly
  3. 3.Fac. CienciasUniversidad SalamancaSalamancaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/b11801
  • Copyright Information Birkhäuser Boston 2009
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-3246-5
  • Online ISBN 978-0-8176-4663-9
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
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