Holomorphic equivariant cohomology
Copyright policy )Holomorphic equivariant cohomology
This paper introduces an equivariant cohomology group for holomorphic (non-compact) Lie group actions on complex manifolds and discusses its various properties. These include localization to fixed points which then implies many integration and residue formulas, especially a Duistermaat- Heckman type formula for non-compact Lie group action on Kähler manifolds.
- DigiZeitschriften Germany
- Massachusetts Institute of Technology United States
Transcendental methods of algebraic geometry (complex-analytic aspects), 510.mathematics, (Co)homology theory in algebraic geometry, Group actions on varieties or schemes (quotients), Lie group action on Kähler manifolds, Global differential geometry of Hermitian and Kählerian manifolds, residue formulas, Article, equivariant cohomology
Transcendental methods of algebraic geometry (complex-analytic aspects), 510.mathematics, (Co)homology theory in algebraic geometry, Group actions on varieties or schemes (quotients), Lie group action on Kähler manifolds, Global differential geometry of Hermitian and Kählerian manifolds, residue formulas, Article, equivariant cohomology
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