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＜電子ブック＞
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics / by CLAUDIO BARTOCCI, Ugo Bruzzo, Daniel Hernández Ruipérez
(Progress in Mathematics. ISSN:2296505X ; 276)

版	1st ed. 2009.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2009
本文言語	英語
大きさ	XVI, 418 p. 83 illus : online resource
著者標目	*BARTOCCI, CLAUDIO author Bruzzo, Ugo author Hernández Ruipérez, Daniel author SpringerLink (Online service)
件　名	LCSH:Physics LCSH:Astronomy LCSH:Algebraic geometry LCSH:Differential equations LCSH:Geometry, Differential LCSH:Mathematical physics FREE:Physics and Astronomy FREE:Algebraic Geometry FREE:Differential Equations FREE:Differential Geometry FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/b11801

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