Vector Bundles on Riemann Surfaces and Conformal Field Theory
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de A. Beauville, A. Coste, J. Dubochet, A. Gramain, M. Holschneider, C. Itzykson, P. Le Tallec, V. Rivasseau, C. Weber, Tome 46 (1994), Exposé no. 6, 21 p. 
@article{RCP25_1994__46__127_0,
     author = {Beauville, Arnaud},
     title = {Vector {Bundles} on {Riemann} {Surfaces} and {Conformal} {Field} {Theory}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:6},
     pages = {127--147},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {46},
     year = {1994},
     language = {en},
     url = {http://archive.numdam.org/item/RCP25_1994__46__127_0/}
}
TY  - JOUR
AU  - Beauville, Arnaud
TI  - Vector Bundles on Riemann Surfaces and Conformal Field Theory
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:6
PY  - 1994
SP  - 127
EP  - 147
VL  - 46
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - http://archive.numdam.org/item/RCP25_1994__46__127_0/
LA  - en
ID  - RCP25_1994__46__127_0
ER  - 
%0 Journal Article
%A Beauville, Arnaud
%T Vector Bundles on Riemann Surfaces and Conformal Field Theory
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:6
%D 1994
%P 127-147
%V 46
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U http://archive.numdam.org/item/RCP25_1994__46__127_0/
%G en
%F RCP25_1994__46__127_0
Beauville, Arnaud. Vector Bundles on Riemann Surfaces and Conformal Field Theory. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de A. Beauville, A. Coste, J. Dubochet, A. Gramain, M. Holschneider, C. Itzykson, P. Le Tallec, V. Rivasseau, C. Weber, Tome 46 (1994), Exposé no. 6, 21 p. http://archive.numdam.org/item/RCP25_1994__46__127_0/

[A] M. Atiyah : The Geometry and Physics of Knots. Cambridge University Press (1990). | Zbl

[A-C-G-H] E. Arbarello, M. Cornalba, P. Griffiths, J. Harris : Geometry of Algebraic Curves I. Springer-Verlag (1985). | Zbl

[B1] A. Beauville : Fibres de rang 2 sur les courbes, fibré déterminant et fonctions thêta. Bull. Soc. math. France 116, 431-448 (1988). | Numdam | MR | Zbl

[B2] A. Beauville : Fibrés de rang 2 sur les courbes, fibré déterminant et fonctions thêta II. Bull. Soc. math. France 119, 259-291 (1991). | Numdam | MR | Zbl

[B3] A. Beauville : Conformal blocks, Fusion rings and the Verlinde formula. Proc. of the Conference "Hirzebruch 65", to appear. | Zbl

[B-L] A. Beauville, Y . Laszlo : Conformal blocks and generalized theta functions. Commun. Math. Phys. 164, 385-419 (1994). | MR | Zbl

[B-La] Ch. Birkenhake, H. Lange : Complex Abelian Varieties. Springer-Verlag (1992). | MR | Zbl

[B-K-Z] A. Belavin, A. Polyakov, A. Zamolodchikov : Infinite Conformal symmetry in two-dimensional Quantum Field Theory. Nucl. Phys. B 241, 333-380 (1984). | MR | Zbl

[C] M. Cornalba : Complex tori and Jacobians. Complex Analysis and its applications, vol. II, 39-100 ; Intern. Atomic Energy, Vienna (1976). | MR | Zbl

[D-N] J. M. Drezet, M. S. Narasimhan : Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques. Invent. math. 97, 53-94 (1989). | MR | Zbl

[F] G. Faltings : A proof for the Verlinde formula. J. Algebraic Geometry 3, 347-374 (1994). | MR | Zbl

[F-S] D. Friedan, S. Shenker : The analytic Geometry of two-dimensional Conformal Field Theory. Nucl. Phys. B 281, 509-545 (1987). | MR

[K] V. Kac : Infinite dimensional Lie algebras (3rd edition). Cambridge University Press (1990). | MR | Zbl

[M-S1] G. Moore, N. Seiberg : Classical and Quantum Conformal Field Theory. Commun. Math. Phys. 123, 177-254 (1989). | MR | Zbl

[M-S2] G. Moore, N. Seiberg : Polynomial Equations for Rational Conformal Field Theories. Phys. Let. B 212, 451-460 (1988). | MR

[S] G. Segal : Two dimensional Conformal Field Theory and modular functors. Proc. Intern. Cong. Math. Phys. Swansea 22-37, A. Hilger (1989). | MR

[T] M. Thaddeus : Stable pairs, linear systems and the Verlinde formula. Inventiones math. 117, 317-353 (1994). | MR | Zbl

[T-U-Y] A. Tsuchiya, K. Ueno, Y. Yamada : Conformal field theory on universal family of stable curves with gauge symmetries. Adv. Studies in Pure Math. 19, 459-566 (1989). | MR | Zbl

[V] E. Verlinde : Fusion rules and modular transformations in 2d conformal field theory. Nuclear Physics B300 360-376 (1988). | MR | Zbl

[W] A. Weil : Généralisation des fonctions abéliennes. J. de Math. P. et App. 17 ( 9ème sér.), 47-87 (1938). | JFM | Numdam | Zbl