Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

• Main Authors: Bartocci, Claudio (Author), Bruzzo, Ugo (Author), Hernández Ruipérez, Daniel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2009.
• Series: Progress in Mathematics ; 276
• Subjects: 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...

Table of 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.