Vector Bundles on Riemann Surfaces and Conformal Field Theory
Beauville, Arnaud
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 46 (1994), p. 127-147 / Harvested from Numdam
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Publié le : 1994-01-01
@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},
     volume = {46},
     year = {1994},
     pages = {127-147},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1994__46__127_0}
}

Beauville, Arnaud. Vector Bundles on Riemann Surfaces and Conformal Field Theory. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 46 (1994) pp. 127-147. http://gdmltest.u-ga.fr/item/RCP25_1994__46__127_0/

[A] M. Atiyah : The Geometry and Physics of Knots. Cambridge University Press (1990). | Zbl 0729.57002

[A-C-G-H] E. Arbarello, M. Cornalba, P. Griffiths, J. Harris : Geometry of Algebraic Curves I. Springer-Verlag (1985). | Zbl 0559.14017

[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 1005388 | Zbl 0691.14016

[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 1125667 | Zbl 0756.14017

[B3] A. Beauville : Conformal blocks, Fusion rings and the Verlinde formula. Proc. of the Conference "Hirzebruch 65", to appear. | Zbl 0848.17024

[B-L] A. Beauville, Y . Laszlo : Conformal blocks and generalized theta functions. Commun. Math. Phys. 164, 385-419 (1994). | MR 1289330 | Zbl 0815.14015

[B-La] Ch. Birkenhake, H. Lange : Complex Abelian Varieties. Springer-Verlag (1992). | MR 1217487 | Zbl 1056.14063

[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 757857 | Zbl 0661.17013

[C] M. Cornalba : Complex tori and Jacobians. Complex Analysis and its applications, vol. II, 39-100 ; Intern. Atomic Energy, Vienna (1976). | MR 485894 | Zbl 0349.14023

[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 999313 | Zbl 0689.14012

[F] G. Faltings : A proof for the Verlinde formula. J. Algebraic Geometry 3, 347-374 (1994). | MR 1257326 | Zbl 0809.14009

[F-S] D. Friedan, S. Shenker : The analytic Geometry of two-dimensional Conformal Field Theory. Nucl. Phys. B 281, 509-545 (1987). | MR 869564

[K] V. Kac : Infinite dimensional Lie algebras (3rd edition). Cambridge University Press (1990). | MR 1104219 | Zbl 0925.17021

[M-S1] G. Moore, N. Seiberg : Classical and Quantum Conformal Field Theory. Commun. Math. Phys. 123, 177-254 (1989). | MR 1002038 | Zbl 0694.53074

[M-S2] G. Moore, N. Seiberg : Polynomial Equations for Rational Conformal Field Theories. Phys. Let. B 212, 451-460 (1988). | MR 962600

[S] G. Segal : Two dimensional Conformal Field Theory and modular functors. Proc. Intern. Cong. Math. Phys. Swansea 22-37, A. Hilger (1989). | MR 1033753

[T] M. Thaddeus : Stable pairs, linear systems and the Verlinde formula. Inventiones math. 117, 317-353 (1994). | MR 1273268 | Zbl 0882.14003

[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 1048605 | Zbl 0696.17010

[V] E. Verlinde : Fusion rules and modular transformations in 2d conformal field theory. Nuclear Physics B300 360-376 (1988). | MR 954762 | Zbl 1180.81120

[W] A. Weil : Généralisation des fonctions abéliennes. J. de Math. P. et App. 17 ( 9ème sér.), 47-87 (1938). | JFM 64.0361.02 | Zbl 0018.06302