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arXiv · 0803.0824

Geometric quantization of weak-Hamiltonian functions

Izu Vaisman
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Abstract

The paper presents an extension of the geometric quantization procedure to integrable, big-isotropic structures. We obtain a generalization of the cohomology integrality condition, we discuss geometric structures on the total space of the corresponding principal circle bundle and we extend the notion of a polarization.

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Izu Vaisman. 2008-03-06. Geometric quantization of weak-Hamiltonian functions. https://doi.org/10.1016/j.geomphys.2008.09.001

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