Equivariant cohomology of \(K\)-contact manifolds

DOI10.1007/s00208-011-0767-8zbMath1258.53089arXiv1102.4476OpenAlexW2109190940MaRDI QIDQ695280

Dirk Töben, Oliver Goertsches, Hiraku Nozawa

Publication date: 20 December 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4476

zbMATH Keywords

torus actionequivariant cohomologyReeb flow\(K\)-contact manifoldcontact moment map

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Global theory of symplectic and contact manifolds (53D35) Algebraic topology on manifolds and differential topology (57R19) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (13)

Equivariant basic cohomology of Riemannian foliations ⋮ Spherical contact toric manifolds ⋮ Basic Kirwan surjectivity for K-contact manifolds ⋮ Closed orbits of Reeb fields on Sasakian manifolds and elliptic curves on Vaisman manifolds ⋮ Equivariant basic cohomology under deformations ⋮ Localization of Chern-Simons type invariants of Riemannian foliations ⋮ On the topology of metric \(f\)-\(K\)-contact manifolds ⋮ Equivariant formality of Hamiltonian transversely symplectic foliations ⋮ Localization of certain odd-dimensional manifolds with torus actions ⋮ Non-abelian GKM theory ⋮ \(K\)-cosymplectic manifolds ⋮ Equivariant de Rham cohomology: theory and applications ⋮ On simply connected \(K\)-contact non-Sasakian manifolds

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