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2007 Braid cobordisms, triangulated categories, and flag varieties
Mikhail Khovanov, Richard Thomas
Homology Homotopy Appl. 9(2): 19-94 (2007).


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 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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Mikhail Khovanov. Richard Thomas. "Braid cobordisms, triangulated categories, and flag varieties." Homology Homotopy Appl. 9 (2) 19 - 94, 2007.


Published: 2007
First available in Project Euclid: 23 January 2008

zbMATH: 1119.18008
MathSciNet: MR2366943

Primary: 18E30

Keywords: braid cobordisms , braid group actions , categorification , derived categories , flag varieties , Fukaya categories , mirror symmetry , triangulated categories

Rights: Copyright © 2007 International Press of Boston

Vol.9 • No. 2 • 2007
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