Braid groups and quiver mutation

Robert Marsh (University of Leeds)

Wednesday 2nd March, 2016 16:00-17:00 Maths 522

Abstract

Joint work with Joseph Grant. We give a presentation of an Artin braid group of type ADE for any quiver which is mutation equivalent to a Dynkin quiver of the same type. We show how these presentations can be understood topologically in types A and D using a disk and a disk with a cone point of order two respectively. These presentations also have a categorical interpretation in which the generators act as spherical twists at simple modules on derived categories of Ginzburg dg-algebras.

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