CLAUDIO BARTOCCI & Ugo Bruzzo 
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics [PDF ebook] 

समर्थन

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.

€181.89
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विषयसूची

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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भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 418 ● ISBN 9780817646639 ● फाइल का आकार 4.2 MB ● प्रकाशक Birkhäuser Boston ● शहर MA ● देश US ● प्रकाशित 2009 ● डाउनलोड करने योग्य 24 महीने ● मुद्रा EUR ● आईडी 2146775 ● कॉपी सुरक्षा सामाजिक DRM

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