Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

BARTOCCI, CLAUDIO, Bruzzo, Ugo, Hern?ndez Ruip?rez, Daniel

ISBN 10: 0817632468 / ISBN 13: 9780817632465

Published by Birkh?user, 2009

2009. Hardcover. . . . . . Books ship from the US and Ireland. Seller Inventory # V9780817632465

Synopsis:

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.

From the Back Cover:

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.

Bibliographic Details

Title: Fourier-Mukai and Nahm Transforms in ...
Publisher: Birkh?user
Publication Date: 2009
Binding: Hardcover
Condition: New