Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics 2009 Edition Contributor(s): Bartocci, Claudio (Author), Bruzzo, Ugo (Author), Hernández Ruipérez, Daniel (Author) |
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ISBN: 0817632468 ISBN-13: 9780817632465 Publisher: Birkhauser OUR PRICE: $189.99 Product Type: Hardcover Published: June 2009 |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Algebraic - Mathematics | Differential Equations - General - Mathematics | Geometry - Differential |
Dewey: 515.723 |
Series: Progress in Mathematics |
Physical Information: 1" H x 6.14" W x 9.21" (1.74 lbs) 418 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |