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Regular version of the site

Article

Braid groups and Kleinian singularities

Mathematische Annalen. 2011. Vol. 351. No. 4. P. 1005-1017.
Brav C. I., Thomas H.

We establish faithfulness of braid group actions generated by twists along an ADE configuration of 22-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.