On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces (Q1313317)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces |
scientific article; zbMATH DE number 490689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces |
scientific article; zbMATH DE number 490689 |
Statements
On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces (English)
0 references
10 March 1994
0 references
The continuous cohomology theory of the Lie algebra \(L(M)\) of complex analytic vector fields on an open Riemann surface \(M\) is studied. We show that the cohomology group with coefficients in the \(L(M)\)-module of germs of complex analytic tensor fields on the product space \(M^ n\) decomposes into the global part derived from the homology of \(M\) and the local part coming from the coefficients.
0 references
Gel'fand-Fuks cohomology
0 references
spaces of holomorphic functions
0 references
complex analytic vector fields
0 references
Riemann surface
0 references
