2 3 M ay 2 00 7 Braid cobordisms , triangulated categories , and flag varieties Mikhail Khovanov and Richard

نویسنده

  • Richard Thomas
چکیده

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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Se p 20 06 Braid cobordisms , triangulated categories , and flag varieties Mikhail Khovanov and Richard

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 an action 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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تاریخ انتشار 2007