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On Geometric Quantization of b^m-symplectic manifolds

Authors :
Universitat Politècnica de Catalunya. Departament de Matemàtiques
Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Miranda Galcerán, Eva
Guillemin, Victor
Weitsman, Jonathan
Universitat Politècnica de Catalunya. Departament de Matemàtiques
Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Miranda Galcerán, Eva
Guillemin, Victor
Weitsman, Jonathan
Publication Year :
2021

Abstract

We study the formal geometric quantization of bm-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual T-modules are finite dimensional when m is odd, as in [4]; when m is even, these virtual modules are not finite dimensional, and we compute the asymptotics of the representations for large weight.<br />Peer Reviewed<br />Preprint

Details

Database :
OAIster
Notes :
7 p., application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1224045892
Document Type :
Electronic Resource