Verlinde factorization and Lie algebra cohomology

Inventiones Mathematicae

Volumn 126, Issue 2, 1996, Pages 249-263

  Teleman, Constantin ^a,b  

^a ST JOHN S COLLEGE   (United Kingdom)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030502138     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050097     Document Type: Article

References (15)

1. Beauville, A.: Conformal Blocks and the Verlinde Formula, Preprint, 1994
2. Beauville, A., Laszlo, Y.: Conformal Blocks and Generalized Theta Functions. Commun. Math. Phys., 164 (1994)
3. Bott, R.: An Application of the Morse Theory to the Topology of Lie Groups. Bull. Soc. Math. Fr. 84, 251-281 (1956)
4. Brylinski, J.-L., McLaughlin, D.: Holomorphic Quantization and Unitary Representations of the Teichmüller Group, in Lie Theory and Geometry: In Honor of Bertram Kostant, Progress in Mathematics, v. 123, Birkhäuser, Boston 1994
5. Faltings, G.: A Proof of the Verlinde Formula. J. Algebraic Geometry, 3, 347-374 (1994)
6. Feigin, B., Fuchs, D.: Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie Algebras. J. Geom. Phys., 5, 209-235 (1988)
7. Gabber, O.: The Integrability of Characteristics. Am. J. Math., 103, 445-469 (1981)
8. Kashiwara, M., Schapira, P.: Sheaves on Manifolds. Springer-Verlag New York, 1994
9. Koszul, J.-L.: Homologie et Cohomologie des algèbres de Lie. Bull. Soc. Math. Fr. 78, 65-127 (1950)
10. Kumar, S., Narasimhan, M.S., Ramanathan, A.: Infinite Grassmannians and Moduli spaces of G-bundles. Math. Ann., 300, 41-75 (1994)
11. Matsumura, H.: Commutative Algebra, Second edition (Math. Lecture Note Series): Benjamin/Cummings, Reading 1980
12. Pressley, A., Segal, G.: Loop Groups: Oxford University Press, New York, 1988
13. Teleman, C.: Lie Algebra Cohomology and the Fusion Rules. Commun. Math. Phys., 173, 265-311 (1995)
14. Teleman, C.: Borel-Weil-Bott theory on the moduli stack of G-bundles over a curve, in preparation
15. Tsuchiya, A., Ueno, K., Yamada, Y.: Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries. Advanced Studies in Pure Mathematics, 19, 459-566 (1989)