Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics (Progress in Mathematics, Vol. 276)

Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez

ISBN 10: 0817632468 / ISBN 13: 9780817632465

Published by Birkhäuser, 2009

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Bibliographic Details

• Title: Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics (Progress in Mathematics, Vol. 276)
• Publisher: Birkhäuser
• Publication Date: 2009
• Language: English
• ISBN 10: 0817632468
• ISBN 13: 9780817632465
• Binding: Hardcover
• Condition: Like New
• Book Type: book

About this title

Synopsis

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.