Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

• Κύριοι συγγραφείς: Bartocci, Claudio (Συγγραφέας), Bruzzo, Ugo (Συγγραφέας), Hernández Ruipérez, Daniel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2009.
• Σειρά: Progress in Mathematics ; 276
• Θέματα: Physics.; Algebraic geometry.; Partial differential equations.; Differential geometry.; Physics, general.; Algebraic Geometry.; Partial Differential Equations.; Differential Geometry.; Theoretical, Mathematical and Computational 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...

Πίνακας περιεχομένων:

• 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.