| Description |
1 online resource (xvi, 423 pages) : illustrations |
| Series |
Progress in mathematics ; v. 276 |
|
Progress in mathematics (Boston, Mass.) ; v. 276.
|
| Contents |
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 |
| Summary |
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 |
| Analysis |
wiskunde |
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mathematics |
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fysica |
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physics |
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computational science |
|
differentiaalmeetkunde |
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differential geometry |
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algebraic geometry |
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partial differential equations |
|
Mathematics (General) |
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Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Print version record |
| Subject |
Fourier transformations.
|
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Fourier analysis.
|
|
Fourier Analysis
|
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MATHEMATICS -- Functional Analysis.
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Fourier analysis.
|
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Fourier transformations.
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Fourier analysis
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Fourier transformations
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| Form |
Electronic book
|
| Author |
Bruzzo, U. (Ugo)
|
|
Hernández-Ruipérez, Daniel, 1954-
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| ISBN |
9780817646639 |
|
0817646639 |
|
1282290606 |
|
9781282290600 |
|
9786612290602 |
|
6612290609 |
|
