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arXiv · 0711.3665

Geometric objects in an approach to quantum geometry

Hideki Omori·Yoshiaki Maeda·Naoya Miyazaki·Akira Yoshioka
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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.

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Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka. 2007-11-23. Geometric objects in an approach to quantum geometry. https://arxiv.org/abs/0711.3665

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