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Libro
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- Genere: Libro
- Lingua: Inglese
- Editore: Birkhäuser Boston
- Pubblicazione: 01/2009
- Edizione: 2009
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics
bartocci claudio; bruzzo ugo; hernández ruipérez daniel
194,98 €
185,23 €
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TRAMA
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.SOMMARIO
Integral functors.- Fourier-Mukai functors.- Fourier-Mukai on Abelian varieties.- Fourier-Mukai on K3 surfaces.- Nahm transforms.- Relative Fourier-Mukai functors.- Fourier-Mukai partners and birational geometry.- Derived and triangulated categories.- Lattices.- Miscellaneous results.- Stability conditions for derived categories.ALTRE INFORMAZIONI
- Condizione: Nuovo
- ISBN: 9780817632465
- Collana: Progress in Mathematics
- Dimensioni: 235 x 155 mm
- Formato: Copertina rigida
- Illustration Notes: XVI, 418 p. 83 illus.
- Pagine Arabe: 418
- Pagine Romane: xvi