Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

Claudio Bartocci

ISBN 10: 0817632468 / ISBN 13: 9780817632465

Verlag: Birkhauser Boston, 2009

Beschreibung

nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9780817632465

Bibliografische Details

• Titel: Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics
• Verlag: Birkhauser Boston
• Erscheinungsjahr: 2009
• Sprache: Englisch
• ISBN-10: 0817632468
• ISBN-13: 9780817632465
• Einband: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.