Conjugation spaces.
Hausmann, Jean-Claude, Holm, Tara, Puppe, Volker (2005)
Algebraic & Geometric Topology
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Displaying similar documents to “Spinc-quantization and the K-multiplicities of the discrete series”
Conjugation spaces.
Geometric quantization and no-go theorems
Viktor Ginzburg, Richard Montgomery (2000)
Banach Center Publications
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A geometric quantization of a Kähler manifold, viewed as a symplectic manifold, depends on the complex structure compatible with the symplectic form. The quantizations form a vector bundle over the space of such complex structures. Having a canonical quantization would amount to finding a natural (projectively) flat connection on this vector bundle. We prove that for a broad class of manifolds, including symplectic homogeneous spaces (e.g., the sphere), such connection does not exist....
On the index theorem for symplectic orbifolds
Boris Fedosov, Bert-Wolfang Schulze, Nikolai Tarkhanov (2004)
Annales de l’institut Fourier
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We give an explicit construction of the trace on the algebra of quantum observables on a symplectiv orbifold and propose an index formula.
On the homotopy groups of some equivariant automorphism groups of spheres
Dieter Erle (1975)
Compositio Mathematica
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On quantizing A-bundles over Hamilton G-spaces
J.-E. Werth (1976)
Annales de l'I.H.P. Physique théorique
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Natural symplectic structures on the tangent bundle of a space-time
Janyška, Josef
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In this nice paper the author proves that all natural symplectic forms on the tangent bundle of a pseudo-Riemannian manifold are pull-backs of the canonical symplectic form on the cotangent bundle with respect to some diffeomorphisms which are naturally induced by the metric.