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
Volume252
DOIs
Publication statusPublished - 2007

Publication series

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

Fingerprint

Geometric object
Flat Connection
Deformation Quantization
Branch Point
Meromorphic Function
Moduli Space
Bundle
Generator
Algebra
Family
Object

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • 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 (Vol. 252, pp. 303-324). (Progress in Mathematics; Vol. 252). Springer Basel. https://doi.org/10.1007/978-0-8176-4530-4_16

Geometric objects in an approach to quantum geometry. / Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira.

Progress in Mathematics. Vol. 252 Springer Basel, 2007. p. 303-324 (Progress in Mathematics; Vol. 252).

Research output: Chapter in Book/Report/Conference proceedingChapter

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