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| Título : |
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics |
| Tipo de documento: |
documento electrónico |
| Autores: |
Claudio Bartocci ; SpringerLink (Online service) ; Bruzzo, Ugo ; Hernández Ruipérez, Daniel |
| Editorial: |
Boston : Birkhäuser Boston |
| Fecha de publicación: |
2009 |
| Colección: |
Progress in Mathematics num. 276 |
| Número de páginas: |
XVI, 418 p. 83 illus |
| Il.: |
online resource |
| ISBN/ISSN/DL: |
978-0-8176-4663-9 |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Physics Algebraic geometry Partial differential equations Differential Physics, general Geometry Equations Theoretical, Mathematical and Computational |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/b11801 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33938 |
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics [documento electrónico] / Claudio Bartocci ; SpringerLink (Online service) ; Bruzzo, Ugo ; Hernández Ruipérez, Daniel . - Boston : Birkhäuser Boston, 2009 . - XVI, 418 p. 83 illus : online resource. - ( Progress in Mathematics; 276) . ISBN : 978-0-8176-4663-9 Idioma : Inglés ( eng)
| Palabras clave: |
Physics Algebraic geometry Partial differential equations Differential Physics, general Geometry Equations Theoretical, Mathematical and Computational |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/b11801 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33938 |
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Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics (2009)
