| Title | : | Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics |
|---|---|---|
| Author | : | Claudio Bartocci, Ugo Bruzzo & Daniel Hernández Ruipérez |
| Release | : | 2009-06-12 |
| Kind | : | ebook |
| Genre | : | Physics, Books, Science & Nature, Mathematics |
| Size | : | 17248077 |
| 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. |
