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Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

Bag om Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

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.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9780817632465
  • Indbinding:
  • Hardback
  • Sideantal:
  • 418
  • Udgivet:
  • 4. juni 2009
  • Udgave:
  • 2009
  • Størrelse:
  • 156x25x234 mm.
  • Vægt:
  • 789 g.
  • BLACK NOVEMBER
  Gratis fragt
Leveringstid: 8-11 hverdage
Forventet levering: 20. november 2024

Beskrivelse af Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

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.

Brugerbedømmelser af Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics



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