ENGLISH

Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

By Claudio Bartocci , Ugo Bruzzo , Daniel Hernández Ruipérez (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
0817632468, 9780817632465
DOI
10.1007/b11801
Open Library ID
OL11388049M
Language
english
Format
PDF
Filesize
3 MB (3194729 bytes)
Series
Progress in Mathematics 276
Edition
1
Pages
418\434
Scanned
no
Time added
2011-06-04 13:46:07
Algebraic Geometry;Partial Differential Equations;

Description

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.

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