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portada Conformal Blocks, Generalized Theta Functions and the Verlinde Formula: 42 (New Mathematical Monographs, Series Number 42)
Type
Physical Book
Author
Publisher
Year
2021
Language
English
Pages
538
Format
Hardcover
Dimensions
22.9 x 15.2 x 3.3 cm
Weight
0.95 kg.
ISBN13
9781316518168
Edition No.
1
Categories

Conformal Blocks, Generalized Theta Functions and the Verlinde Formula: 42 (New Mathematical Monographs, Series Number 42)

Shrawan Kumar (Author) · Cambridge University Press · Hardcover

Conformal Blocks, Generalized Theta Functions and the Verlinde Formula: 42 (New Mathematical Monographs, Series Number 42) - Kumar, Shrawan

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Synopsis "Conformal Blocks, Generalized Theta Functions and the Verlinde Formula: 42 (New Mathematical Monographs, Series Number 42) "

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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