Fourier-Mukai and Nahm transforms in geometry and mathematical physics

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 g...

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Detalles Bibliográficos
Auteurs principaux: Hernández Ruipérez, Daniel, 1954-, Bruzzo, Ugo (Auteur), Bartocci, Claudio, 1962- (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado: Boston : Birkhäuser Boston [20..].
Cham : Springer Nature
Edición:1st ed. 2009.
Series:Progress in Mathematics 276
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Nota: Description d'après consultation du 15 décembre 2011
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Edition sous un autre format:• Fourier-Mukai and Nahm transforms in geometry and mathematical physics, Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez, Boston (Mass.), Birkhäuser, 2009, 1 vol. (XVI-423 p.), Progress in mathematics, 978-0-8176-3246-5
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Résumé: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
descrición da copia:Description d'après consultation du 15 décembre 2011
Archives Springer e-books (Licence nationale)
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Bibliografía:Bibliogr. Index
ISBN:9780817646639
ISSN:2296-505X
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