Braid groups and Kleinian singularities
By Christopher Brav, Hugh Thomas. 2009
74 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bfa67f8448d35d6f19fa67d2c8dc2980f8b9f3b2
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In Geometry and Topology
- Eddy Godelle
- Patrick Dehornoy
- Jean Michel
- Daan Krammer
- F. Digne
- Juan González-Meneses
- Luis Paris
- Stephen Bigelow
In Mathematical Physics
- Eddy Godelle
- Patrick Dehornoy
- Jean Michel
- Daan Krammer
- F. Digne
- Juan González-Meneses
- Luis Paris
- Stephen Bigelow
Citations in the corpus
- Relative singularity categories I: Auslander resolutions (2012, unknown): “This follows [19] from a faithfulness result for the braid group actions generated by spherical twists (see [84] for type A and [18] for general Dynkin types).”
- Foundations of Garside Theory (2013, background): “Let us for instance mention the recog nition of the Nielsen–Thurston type in Lee–Lee [167], the recognition of quasi-positive br aids in Orevkov [185], or the study of Kleinian singularities in Brav–Thomas [32].”