A Cohomological Pairing of Half-Forms

DOI10.2307/2000337zbMath0623.17010OpenAlexW4240987321MaRDI QIDQ3760702

Paul Lee Robinson

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000337

zbMATH Keywords

polarizationscohomology spacesmetaplectic representationsymplectic manifoldvacuum statespairingsgeometric quantizationsymplectic vector bundleabelian Lie algebrasKünneth theoremHalf-forms

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Cohomology of Lie (super)algebras (17B56)

Cites Work

• Unnamed Item
• Quantization of the action of \(U(k,n)\) on \(R^{2(k+n)}\)
• On the pairing of polarizations
• Sur certains groupes d'opérateurs unitaires
• The metaplectic representation, 𝑀𝑝^{𝑐} structures and geometric quantization
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components

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