Format:
1 online resource (xxvii, 509 pages)
ISBN:
9781108997003
Series Statement:
New mathematical monographs 42
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 25 Nov 2021)
Additional Edition:
ISBN 9781316518168
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9781316518168
Language:
English
DOI:
10.1017/9781108997003
Author information:
Kumar, Shrawan 1953-
