@inbook{86e61e37e6d04898a5e8ae774d0c479a,

title = "Geometric objects in an approach to quantum geometry",

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.",

keywords = "Deformation quantization, Gerbe, Non-linear connections, Star exponential functions",

author = "Hideki Omori and Yoshiaki Maeda and Naoya Miyazaki and Akira Yoshioka",

note = "Funding Information: ∗Partially supported by Grant-in-Aid for Scientific Research (#18204006), Ministry of Education, Science and Culture, Japan. ** Partially supported by Grant-in-Aid for Scientific Research (#18540093), Ministry of Education, Science and Culture, Japan. *** Partially supported by Grant-in-Aid for Scientific Research (#17540096), Ministry of Education, Science and Culture, Japan.",

year = "2007",

doi = "10.1007/978-0-8176-4530-4_16",

language = "English",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "303--324",

booktitle = "Progress in Mathematics",

}