"The main aim of this book is to give a self contained proof of the Verlinde formula for the dimension of the space of conformal blocks and prove the connection between conformal blocks and generalized theta functions"--
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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 …
"The main aim of this book is to give a self contained proof of the Verlinde formula for the dimension of the space of conformal blocks and prove the connection between conformal blocks and generalized theta functions"--
This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies. The question concerns conformally invariant functionals on the space of Riemannian metrics over a…