2004/08/26 by Xiaobo Liu, Liu, Xiaobo
Mathematics · #20G42 (Secondary) #57M50 #57R56 (Primary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.math/0408361
openalex publication_date 2004/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the quantum Teichmuller space of the punctured surface introduced by Chekhov-Fock-Kashaev, and formalize it as a noncommutative deformation of the space of algebraic functions on the Teichmuller space of the surface. In order to apply it in 3-dimensional topology, we put more attention to the details involving small surfaces.