Conformal blocks, generalized theta functions and the Verlinde formula

"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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Détails bibliographiques
Auteur principal : Kumar Shrawan (Auteur)
Format : Livre
Langue : anglais
Titre complet : Conformal blocks, generalized theta functions and the Verlinde formula / Shrawan Kumar
Publié : Cambridge, New York, NY : Cambridge University Press , C 2022
Description matérielle : 1 vol. (XXVII-509 p.)
Collection : New mathematical monographs (Print) ; 42
Contenu : An introduction to affine lie algebras and the associated groups. Space of vacua and its propagation. Factorization theorem for space of vacua. Fusion ring and explicit Verlinde formula. Moduli stack of quasi-parabolic G-bundles and its uniformization. Parabolic G-bundles and equivariant G-bundles. Moduli space of semistable G-bundles over a smooth curve. Identification of the space of conformal blocks with the space of generalized theta functions. Picard group of moduli space of G-bundles
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327 1 |a An introduction to affine lie algebras and the associated groups  |a Space of vacua and its propagation  |a Factorization theorem for space of vacua  |a Fusion ring and explicit Verlinde formula  |a Moduli stack of quasi-parabolic G-bundles and its uniformization  |a Parabolic G-bundles and equivariant G-bundles  |a Moduli space of semistable G-bundles over a smooth curve  |a Identification of the space of conformal blocks with the space of generalized theta functions  |a Picard group of moduli space of G-bundles 
330 |a "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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