English

Geometric objects in an approach to quantum geometry

Quantum Algebra 2007-11-26 v1 Differential Geometry

Abstract

Ideas from deformation quantization applied to algebras with one generator lead to methods to treat a nonlinear flat connection. It provides us elements of algebras to be parallel sections. The moduli space of the parallel sections is studied as an example of bundle-like objects with discordant (sogo) transition functions, which suggests us to treat movable branching singularities.

Keywords

Cite

@article{arxiv.0711.3665,
  title  = {Geometric objects in an approach to quantum geometry},
  author = {Hideki Omori and Yoshiaki Maeda and Naoya Miyazaki and Akira Yoshioka},
  journal= {arXiv preprint arXiv:0711.3665},
  year   = {2007}
}
R2 v1 2026-06-21T09:46:27.686Z