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

    Publication series

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

    Keywords

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

    ASJC Scopus subject areas

    • Analysis
    • Algebra and Number Theory
    • Geometry and Topology

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