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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: BARTOCCI, CLAUDIO (Author), Bruzzo, Ugo (Author), Hernández Ruipérez, Daniel (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2009.
Edition:1st ed. 2009.
Series:Progress in Mathematics, 276
Subjects:
Physics.
Astronomy.
Algebraic geometry.
Differential equations.
Geometry, Differential.
Mathematical physics.
Physics and Astronomy.
Algebraic Geometry.
Differential Equations.
Differential Geometry.
Theoretical, Mathematical and Computational Physics.
Online Access:Texto Completo
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.

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