Conformal Blocks, Generalized Theta Functions and the Verlinde Formula
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Conformal Blocks, Generalized Theta Functions and the Verlinde Formula

Shrawan Kumar

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eBook - PDF

Conformal Blocks, Generalized Theta Functions and the Verlinde Formula

Shrawan Kumar

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About This Book

In 1988, E. Verlinde gave a remarkable conjectural formula for the dimension of conformal blocks over a smooth curve in terms of representations of affine Lie algebras. Verlinde's formula arose from physical considerations, but it attracted further attention from mathematicians when it was realized that the space of conformal blocks admits an interpretation as the space of generalized theta functions. A proof followed through the work of many mathematicians in the 1990s. This book gives an authoritative treatment of all aspects of this theory. It presents a complete proof of the Verlinde formula and full details of the connection with generalized theta functions, including the construction of the relevant moduli spaces and stacks of G-bundles. Featuring numerous exercises of varying difficulty, guides to the wider literature and short appendices on essential concepts, it will be of interest to senior graduate students and researchers in geometry, representation theory and theoretical physics.

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Information

Publisher
Cambridge University Press
Year
2021
ISBN
9781009002875
Topic
Matemáticas
Subtopic
Topología

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