English

Geometric quantization of weak-Hamiltonian functions

Symplectic Geometry 2009-11-13 v1 Differential Geometry

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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Cite

@article{arxiv.0803.0824,
  title  = {Geometric quantization of weak-Hamiltonian functions},
  author = {Izu Vaisman},
  journal= {arXiv preprint arXiv:0803.0824},
  year   = {2009}
}

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LaTex, 23 pages

R2 v1 2026-06-21T10:18:57.677Z