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.

Fourier-Mukai and Nahm transforms in geometry and mathematical physics / Bartocci, Claudio; Bruzzo, Ugo; Hernández Ruipérez, Daniel. - 276:(2009). [10.1007/b11801]

Fourier-Mukai and Nahm transforms in geometry and mathematical physics

Bruzzo, Ugo;
2009

Abstract

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.
https://link.springer.com/book/10.1007%2Fb11801
Bartocci, Claudio; Bruzzo, Ugo; Hernández Ruipérez, Daniel
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/15683
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