Geometric quantization of weak-Hamiltonian functions

Research output: Contribution to journalArticlepeer-review

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 polarization.

Original languageEnglish
Pages (from-to)35-49
Number of pages15
JournalJournal of Geometry and Physics
Volume59
Issue number1
DOIs
StatePublished - Jan 2009

Keywords

  • Big-isotropic structure
  • Geometric prequantization data system
  • Polarization
  • Prequantization space

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy (all)
  • Geometry and Topology

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