Conformal Blocks, Generalized Theta Functions and the Verlinde Formula
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Conformal Blocks, Generalized Theta Functions and the Verlinde Formula by Shrawan Kumar
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.
'The author succeeds in giving a masterful, clear, motivated and practically up to date presentation of a subject which is connected to the forefront of the mathematical researchIt is addressed both to those researchers who just enter the subject and to those already active in theoretical physics, algebraic geometry, representation theory. This admirable book (which is the third book of Shrawan Kumar) is the first one about a very advanced and technical subject and it will be surely a standard reference.' Nicolae Manolache, zbMATH
Shrawan Kumar is John R. and Louise S. Parker Distinguished Professor of Mathematics at the University of North Carolina, Chapel Hill. He was an invited Speaker at the 2010 International Congress of Mathematicians and was elected a Fellow of the American Mathematical Society in 2012. This is his third book.
| SKU | Unavailable |
| ISBN 13 | 9781316518168 |
| ISBN 10 | 1316518167 |
| Title | Conformal Blocks, Generalized Theta Functions and the Verlinde Formula |
| Author | Shrawan Kumar |
| Series | New Mathematical Monographs |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2021-11-25 |
| Number of pages | 540 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |