Vector Bundles on Riemann Surfaces and Conformal Field Theory

Arnaud Beauville

Recherche Coopérative sur Programme n°25 (1994)

  • Volume: 46, page 127-147

How to cite

top

Beauville, Arnaud. "Vector Bundles on Riemann Surfaces and Conformal Field Theory." Recherche Coopérative sur Programme n°25 46 (1994): 127-147. <http://eudml.org/doc/274916>.

@article{Beauville1994,
author = {Beauville, Arnaud},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {127-147},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Vector Bundles on Riemann Surfaces and Conformal Field Theory},
url = {http://eudml.org/doc/274916},
volume = {46},
year = {1994},
}

TY - JOUR
AU - Beauville, Arnaud
TI - Vector Bundles on Riemann Surfaces and Conformal Field Theory
JO - Recherche Coopérative sur Programme n°25
PY - 1994
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 46
SP - 127
EP - 147
LA - eng
UR - http://eudml.org/doc/274916
ER -

References

top
  1. [A] M. Atiyah : The Geometry and Physics of Knots. Cambridge University Press (1990). Zbl0729.57002
  2. [A-C-G-H] E. Arbarello, M. Cornalba, P. Griffiths, J. Harris : Geometry of Algebraic Curves I. Springer-Verlag (1985). Zbl0559.14017
  3. [B1] A. Beauville : Fibres de rang 2 sur les courbes, fibré déterminant et fonctions thêta. Bull. Soc. math. France116, 431-448 (1988). Zbl0691.14016MR1005388
  4. [B2] A. Beauville : Fibrés de rang 2 sur les courbes, fibré déterminant et fonctions thêta II. Bull. Soc. math. France119, 259-291 (1991). Zbl0756.14017MR1125667
  5. [B3] A. Beauville : Conformal blocks, Fusion rings and the Verlinde formula. Proc. of the Conference "Hirzebruch65", to appear. Zbl0848.17024
  6. [B-L] A. Beauville, Y . Laszlo : Conformal blocks and generalized theta functions. Commun. Math. Phys.164, 385-419 (1994). Zbl0815.14015MR1289330
  7. [B-La] Ch. Birkenhake, H. Lange : Complex Abelian Varieties. Springer-Verlag (1992). Zbl1056.14063MR1217487
  8. [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). Zbl0661.17013MR757857
  9. [C] M. Cornalba : Complex tori and Jacobians. Complex Analysis and its applications, vol. II, 39-100 ; Intern. Atomic Energy, Vienna (1976). Zbl0349.14023MR485894
  10. [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). Zbl0689.14012MR999313
  11. [F] G. Faltings : A proof for the Verlinde formula. J. Algebraic Geometry3, 347-374 (1994). Zbl0809.14009MR1257326
  12. [F-S] D. Friedan, S. Shenker : The analytic Geometry of two-dimensional Conformal Field Theory. Nucl. Phys. B 281, 509-545 (1987). MR869564
  13. [K] V. Kac : Infinite dimensional Lie algebras (3rd edition). Cambridge University Press (1990). Zbl0925.17021MR1104219
  14. [M-S1] G. Moore, N. Seiberg : Classical and Quantum Conformal Field Theory. Commun. Math. Phys.123, 177-254 (1989). Zbl0694.53074MR1002038
  15. [M-S2] G. Moore, N. Seiberg : Polynomial Equations for Rational Conformal Field Theories. Phys. Let. B 212, 451-460 (1988). MR962600
  16. [S] G. Segal : Two dimensional Conformal Field Theory and modular functors. Proc. Intern. Cong. Math. Phys. Swansea22-37, A. Hilger (1989). MR1033753
  17. [T] M. Thaddeus : Stable pairs, linear systems and the Verlinde formula. Inventiones math.117, 317-353 (1994). Zbl0882.14003MR1273268
  18. [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). Zbl0696.17010MR1048605
  19. [V] E. Verlinde : Fusion rules and modular transformations in 2d conformal field theory. Nuclear Physics B300360-376 (1988). Zbl1180.81120MR954762
  20. [W] A. Weil : Généralisation des fonctions abéliennes. J. de Math. P. et App.17 ( 9ème sér.), 47-87 (1938). Zbl0018.06302JFM64.0361.02

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.