Some remarks on the cohomology of Krichever-Novikov algebras

被引：9
|
作者：
Wagemann, F [1 ]
机构：
[1] Univ Lyon 1, CNRS, Inst Girard Desargues, UPRES A 5028, F-69622 Villeurbanne, France
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 47卷 / 02期
关键词：
Virasoro algebra; cohomology of vector fields; Lie algebras of holomorphic vector fields;
D O I：
10.1023/A:1007565132203
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We calculate the continuous cohomology of the Lie algebra of meromorphic vector fields on a compact Riemann surface from the cohomology of the holomorphic vector fields on the open Riemann surface pointed in the poles. This cohomology has been given by Kawazumi. Our result shows the Feigin-Novikov conjecture.
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页码：173 / 177
页数：5
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