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Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics


Category: ebooks | Author: ken_uit_9x | Date: 14-01-2018, 02:05

Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

Claudio Bartocci, "Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics"
2009 | ISBN-10: 0817632468 | 440 pages | PDF | 3 MB

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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