Braid groups and Kleinian singularities

作者:Brav Christopher*; Thomas Hugh
来源:Mathematische Annalen, 2011, 351(4): 1005-1017.
DOI:10.1007/s00208-010-0627-y

摘要

We establish faithfulness of braid group actions generated by twists along an ADE configuration of 2-spherical objects in a derived category. Our major tool is the Garside structure on braid groups of type ADE. This faithfulness result provides the missing ingredient in Bridgeland's description of a space of stability conditions associated to a Kleinian singularity.

  • 出版日期2011-12