The braid group for a quiver with superpotential

Abstract

We survey and compare various generalizations of braid groups for quivers with superpotential and focus on the cluster braid groups, which are introduced in a joint work with A.~King. Our motivations come from the study of cluster algebras, Calabi-Yau categories and Bridgeland stability conditions.

A survey for the International Workshop on Cluster Algebras in Naikai University, Tianjin (2017). Comments are welcome