Equivariant cohomologies and Kähler geometry

DOI10.1007/BF01077801zbMath0656.53062MaRDI QIDQ1110116

V. A. Ginzburg

Publication date: 1987

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Kähler manifoldequivariant cohomologysymplectic manifoldHamiltonian action

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (12)

Quantum cohomology of flag manifolds and Toda lattices ⋮ Quantum cohomology of partial flag manifolds \(F_{n_ 1\dots n_ k}\) ⋮ Syzygies in Equivariant Cohomology for Non-abelian Lie Groups ⋮ D-modules and projective stacks ⋮ Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity ⋮ Equivariant formality of Hamiltonian transversely symplectic foliations ⋮ Kirwan surjectivity for the equivariant Dolbeault cohomology ⋮ Equivariant de Rham cohomology: theory and applications ⋮ Polynomial assignments ⋮ Modules over convolution algebras from equivariant derived categories. I ⋮ Equivariant Kähler geometry and localization in the \(G/G\) model ⋮ dg analogues of the Zuckerman functors and the dual Zuckerman functors. I

Cites Work

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• The moment map and equivariant cohomology
• Some topological aspects of C* actions on compact Kaehler manifolds
• Supersymmetry and Morse theory
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Convexity properties of the moment mapping
• On the Chern-Weil homomorphism and the continuous cohomology of Lie- groups
• Some theorems on actions of algebraic groups
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Rational homotopy theory
• Théorie de Hodge. II. (Hodge theory. II)
• The spectrum of an equivariant cohomology ring. I. II
• The Equivariant Index and Kirillov's Character Formula
• Convexity and Commuting Hamiltonians

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