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|a 9780817646639
|9 978-0-8176-4663-9
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|a 10.1007/b11801
|2 doi
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|a 530
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|a Bartocci, Claudio.
|e author.
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|a Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics
|h [electronic resource] /
|c by Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez.
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|a Boston :
|b Birkhäuser Boston,
|c 2009.
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|a XVI, 418 p. 83 illus.
|b online resource.
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|a text
|b txt
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|b PDF
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|a Progress in Mathematics ;
|v 276
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|a 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.
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|a 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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|a Physics.
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|a Algebraic geometry.
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|a Partial differential equations.
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|a Differential geometry.
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|a Physics.
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|a Physics, general.
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|a Algebraic Geometry.
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|a Partial Differential Equations.
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|a Differential Geometry.
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|a Theoretical, Mathematical and Computational Physics.
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| 700 |
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|a Bruzzo, Ugo.
|e author.
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|a Hernández Ruipérez, Daniel.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9780817632465
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| 830 |
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|a Progress in Mathematics ;
|v 276
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|u http://dx.doi.org/10.1007/b11801
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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