Geometric objects in an approach to quantum geometry

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

Ideas from deformation quantization applied to algebra with one generator lead to the construction of non-linear flat connection, whose parallel sections have algebraic significance. The moduli space of parallel sections is studied as an example of bundle-like objects with discordant (sogo) transition functions, which suggests a method to treat families of meromorphic functions with smoothly varying branch points.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages303-324
Number of pages22
DOIs
Publication statusPublished - 2007 Jan 1

Publication series

NameProgress in Mathematics
Volume252
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

    Fingerprint

Keywords

  • Deformation quantization
  • Gerbe
  • Non-linear connections
  • Star exponential functions

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Omori, H., Maeda, Y., Miyazaki, N., & Yoshioka, A. (2007). Geometric objects in an approach to quantum geometry. In Progress in Mathematics (pp. 303-324). (Progress in Mathematics; Vol. 252). Springer Basel. https://doi.org/10.1007/978-0-8176-4530-4_16