### 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 language | English |
---|---|

Title of host publication | Progress in Mathematics |

Publisher | Springer Basel |

Pages | 303-324 |

Number of pages | 22 |

Volume | 252 |

DOIs | |

Publication status | Published - 2007 |

### Publication series

Name | Progress in Mathematics |
---|---|

Volume | 252 |

ISSN (Print) | 0743-1643 |

ISSN (Electronic) | 2296-505X |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Algebra and Number Theory
- Analysis
- Geometry and Topology

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*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

}

TY - CHAP

T1 - Geometric objects in an approach to quantum geometry

AU - Omori, Hideki

AU - Maeda, Yoshiaki

AU - Miyazaki, Naoya

AU - Yoshioka, Akira

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - Deformation quantization

KW - Gerbe

KW - Non-linear connections

KW - Star exponential functions

UR - http://www.scopus.com/inward/record.url?scp=66249126406&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=66249126406&partnerID=8YFLogxK

U2 - 10.1007/978-0-8176-4530-4_16

DO - 10.1007/978-0-8176-4530-4_16

M3 - Chapter

AN - SCOPUS:66249126406

VL - 252

T3 - Progress in Mathematics

SP - 303

EP - 324

BT - Progress in Mathematics

PB - Springer Basel

ER -