Braid cobordisms, triangulated categories, and flag varieties

By Mikhail Khovanov, Richard Thomas. 2006

64 citations recorded by the source corpus.

We argue that various braid group actions on triangulated categories should be extended to projective actions of the category of braid cobordisms and illustrate how this works in examples. We also construct actions of both the affine braid group and the braid cobordism category on the derived category of coherent sheaves on the cotangent bundle to the full flag variety.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/aeff7272131fda44be087405af8636338b0c2822

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In Geometry and Topology

1. Nicolas Addington
2. Alexander Perry
3. D. Huybrechts

In Mathematical Physics

1. Nicolas Addington
2. Alexander Perry
3. D. Huybrechts

Citations in the corpus

• New derived symmetries of some hyperkähler varieties (2011, background): “Seidel and Thomas [37] showed that T is an equivalence.”