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On geometric quantization of b-symplectic manifolds

Author

Miranda Galcerán, Eva

Guillemin, Victor

Weitsman, Jonathan

Other authors

Universitat Politècnica de Catalunya. Departament de Matemàtiques

Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions

Publication date

2018-05-20

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Abstract

We study a notion of pre-quantization for b-symplectic manifolds. We use it to construct a formal geometric quantization of b-symplectic manifolds equipped with Hamiltonian torus actions with nonzero modular weight. We show that these quantizations are finite dimensional T-modules.

Peer Reviewed

Postprint (author's final draft)

Document Type

Article

Language

English

Subjects and keywords

Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial; Geometric quantization; Formal geometric quantization; Poisson manifolds; b-Symplectic manifolds; Quantització geomètrica

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Rights

http://creativecommons.org/licenses/by-nc-nd/3.0/es/

Open Access

Attribution-NonCommercial-NoDerivs 3.0 Spain

This item appears in the following Collection(s)

E-prints [72987]