Special Session 44: The theory of cluster algebras and its applications

Deformed 3-Calabi-Yau categories and Euclidean Artin braid groups

Yu Qiu
Tsinghua University
Peoples Rep of China
Co-Author(s):    
Abstract:
We introduce a new family of quivers with potential for triangulated marked surfaces with punctures. We show that the deformation of the associated 3-Calabi-Yau categories corresponds to the partial compactification (with orbifolding) of the associated moduli spaces. As an application, we calculate the fundamental groups of these moduli spaces (of framed quadratic differentials), which in particular produces Euclidean Artin braid groups of type A, B, C and D.