Braid groups and quiver mutation
09 April 14:00 - 15:00
Robert Marsh - University of Leeds
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 geometrically in types A and D using triangulated surfaces. 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.
Henning Haahr Andersen
Aslak Bakke Buan
NTNU - Norwegian University of Science and Technology