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arXiv · 0910.2521

Braid groups and Kleinian singularities

Christopher Brav·Hugh Thomas
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Abstract

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.

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Christopher Brav, Hugh Thomas. 2010-06-04. Braid groups and Kleinian singularities. https://arxiv.org/abs/0910.2521

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