Braid cobordisms, triangulated categories, and flag varieties

Mathematics – Quantum Algebra

Scientific paper

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Comment added noting faithfulness of braid group action on D(T*Flag). Referee's comments incorporated to make paper more reada

Scientific paper

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.

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