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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Progress in Mathematics,
276 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
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| 001 | 978-0-8176-4663-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220114124049.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817646639 |9 978-0-8176-4663-9 | ||
| 024 | 7 | |a 10.1007/b11801 |2 doi | |
| 050 | 4 | |a Q1-390 | |
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| 245 | 1 | 0 | |a Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics |h [electronic resource] / |c by CLAUDIO BARTOCCI, Ugo Bruzzo, Daniel Hernández Ruipérez. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2009. | |
| 300 | |a XVI, 418 p. 83 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Progress in Mathematics, |x 2296-505X ; |v 276 | |
| 505 | 0 | |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. | |
| 520 | |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. | ||
| 650 | 0 | |a Physics. | |
| 650 | 0 | |a Astronomy. | |
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Physics and Astronomy. |
| 650 | 2 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 700 | 1 | |a Bruzzo, Ugo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Hernández Ruipérez, Daniel. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817671549 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817632465 |
| 830 | 0 | |a Progress in Mathematics, |x 2296-505X ; |v 276 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/b11801 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||