×

Variété de modules de fibres stables sur une surface de Riemann: Résultats d’Atiyah et Bott. (Moduli variety of stable fiber bundles over a Riemann surface: Results by Atiyah and Bott). (French) Zbl 0604.14011

Module des fibrés stables sur les courbes algébriques, Notes Ec. Norm. Supér., Paris 1983, Prog. Math. 54, 5-28 (1985).
[For the entire collection see Zbl 0546.00011.]
Expository paper. It deals with a part of results of M. F. Atiyah and R. Bott [Philos. Trans. R. Soc. Lond., A 308, 523-615 (1983; Zbl 0509.14014)] relating to computation of cohomologies of the space \(N(r,d)\) of stable rank r vector bundles of degree \(d\) over a Riemann surface M.
Reviewer: A.Pankov

MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14H10 Families, moduli of curves (algebraic)
30F10 Compact Riemann surfaces and uniformization