Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\)

DOI10.1006/aima.1998.1788zbMath0914.22009arXivdg-ga/9711019OpenAlexW1965996181MaRDI QIDQ1283428

Jiang-Hua Lu, Sam Evens

Publication date: 14 June 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9711019

zbMATH Keywords

flag manifoldSchubert calculusPoisson structurede Rham cohomologyspace of differential formscompact semisimple Lie groupmaximal torusKostant harmonic formsKoszul-Brylinski operator

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) General properties and structure of real Lie groups (22E15) Continuous cohomology of Lie groups (22E41)

Related Items

On the variety of Lagrangian subalgebras, I, Generalized complex geometry, Coordinates on Schubert cells, Kostant's harmonic forms, and the Bruhat Poisson structure on \(G/B\), Poisson structures on complex flag manifolds associated with real forms, Geometry of Maurer-Cartan elements on complex manifolds, Linearization of Poisson actions and singular values of matrix products, Poisson sigma model on the sphere, On the variety of Lagrangian subalgebras, II, Tetraplectic structures, tri-momentum maps, and quaternionic flag manifolds

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