English

Classical phase space singularities and quantization

Mathematical Physics 2007-05-23 v1 math.MP Symplectic Geometry

Abstract

Simple classical mechanical systems and solution spaces of classical field theories involve singularities. In certain situations these singularities can be understood in terms of stratified Kaehler spaces. We give an overview of a research program whose aim is to develop a holomorphic quantization procedure on stratified Kaehler spaces.

Keywords

Cite

@article{arxiv.math-ph/0610047,
  title  = {Classical phase space singularities and quantization},
  author = {Johannes Huebschmann},
  journal= {arXiv preprint arXiv:math-ph/0610047},
  year   = {2007}
}

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23 pages