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Nariya Kawazumi
On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces
Annales de l'institut Fourier, 43 no. 3 (1993), p. 655-712, doi: 10.5802/aif.1351
Article PDF | Analyses MR 94i:58211 | Zbl 0782.57019

Résumé - Abstract

Dans cet article nous étudions la cohomologie continue de l’algèbre de Lie $L(M)$ des champs de vecteurs analytiques complexes sur une surface de Riemann ouverte $M$. Nous montrons que le groupe de cohomologie à coefficients dans le $L(M)$-module des germes de champs de tenseurs analytiques complexes sur le produit $M^n$ se décompose en la partie globale dérivée de l’homologie de $M$ et la partie locale provenant des coefficients.

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