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- Metaplectic_structure abstract "In differential geometry, a metaplectic structure is the symplectic analog of spin structure on orientable Riemannian manifolds. A metaplectic structure on a symplectic manifold allows one to define the symplectic spinor bundle, which is the Hilbert space bundle associated to the metaplectic structure via the metaplectic representation, giving rise to the notion of a symplectic spinor field in differential geometry. Symplectic spin structures have wide applications to mathematical physics, in particular to quantum field theory where they are an essential ingredient in establishing the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology. They are also of purely mathematical interest in differential geometry, algebraic topology, and K theory. They form the foundation for symplectic spin geometry.".
- Metaplectic_structure wikiPageExternalLink metaplectic-quantization-35916383.
- Metaplectic_structure wikiPageID "32019964".
- Metaplectic_structure wikiPageLength "5794".
- Metaplectic_structure wikiPageOutDegree "35".
- Metaplectic_structure wikiPageRevisionID "629560154".
- Metaplectic_structure wikiPageWikiLink Algebraic_topology.
- Metaplectic_structure wikiPageWikiLink Category:Algebraic_topology.
- Metaplectic_structure wikiPageWikiLink Category:Structures_on_manifolds.
- Metaplectic_structure wikiPageWikiLink Category:Symplectic_geometry.
- Metaplectic_structure wikiPageWikiLink Chern_class.
- Metaplectic_structure wikiPageWikiLink Cohomology.
- Metaplectic_structure wikiPageWikiLink Cohomology_group.
- Metaplectic_structure wikiPageWikiLink Covering_map.
- Metaplectic_structure wikiPageWikiLink Covering_space.
- Metaplectic_structure wikiPageWikiLink Differential_geometry.
- Metaplectic_structure wikiPageWikiLink Equivariant.
- Metaplectic_structure wikiPageWikiLink Equivariant_map.
- Metaplectic_structure wikiPageWikiLink Hilbert_space.
- Metaplectic_structure wikiPageWikiLink K-theory.
- Metaplectic_structure wikiPageWikiLink K_theory.
- Metaplectic_structure wikiPageWikiLink Mathematical_physics.
- Metaplectic_structure wikiPageWikiLink Metaplectic_group.
- Metaplectic_structure wikiPageWikiLink Obstruction_theory.
- Metaplectic_structure wikiPageWikiLink Orientability.
- Metaplectic_structure wikiPageWikiLink Orientable.
- Metaplectic_structure wikiPageWikiLink Quantum_field_theory.
- Metaplectic_structure wikiPageWikiLink Riemannian_manifold.
- Metaplectic_structure wikiPageWikiLink Spin_geometry.
- Metaplectic_structure wikiPageWikiLink Springer-Verlag.
- Metaplectic_structure wikiPageWikiLink Springer_Science+Business_Media.
- Metaplectic_structure wikiPageWikiLink Stiefel-Whitney_class.
- Metaplectic_structure wikiPageWikiLink Stiefel–Whitney_class.
- Metaplectic_structure wikiPageWikiLink Symplectic_frame_bundle.
- Metaplectic_structure wikiPageWikiLink Symplectic_geometry.
- Metaplectic_structure wikiPageWikiLink Symplectic_group.
- Metaplectic_structure wikiPageWikiLink Symplectic_manifold.
- Metaplectic_structure wikiPageWikiLink Symplectic_spinor_bundle.
- Metaplectic_structure wikiPageWikiLinkText "Metaplectic structure".
- Metaplectic_structure wikiPageWikiLinkText "metaplectic structure".
- Metaplectic_structure hasPhotoCollection Metaplectic_structure.
- Metaplectic_structure wikiPageUsesTemplate Template:Citation.
- Metaplectic_structure wikiPageUsesTemplate Template:Cite_journal.
- Metaplectic_structure wikiPageUsesTemplate Template:Reflist.
- Metaplectic_structure subject Category:Algebraic_topology.
- Metaplectic_structure subject Category:Structures_on_manifolds.
- Metaplectic_structure subject Category:Symplectic_geometry.
- Metaplectic_structure hypernym Analog.
- Metaplectic_structure type Drug.
- Metaplectic_structure comment "In differential geometry, a metaplectic structure is the symplectic analog of spin structure on orientable Riemannian manifolds. A metaplectic structure on a symplectic manifold allows one to define the symplectic spinor bundle, which is the Hilbert space bundle associated to the metaplectic structure via the metaplectic representation, giving rise to the notion of a symplectic spinor field in differential geometry.".
- Metaplectic_structure label "Metaplectic structure".
- Metaplectic_structure sameAs m.0gx1vvp.
- Metaplectic_structure sameAs Q6823154.
- Metaplectic_structure sameAs Q6823154.
- Metaplectic_structure wasDerivedFrom Metaplectic_structure?oldid=629560154.
- Metaplectic_structure isPrimaryTopicOf Metaplectic_structure.