Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 9, Number 2 (2007), 19-94.
Braid cobordisms, triangulated categories, and flag varieties
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.
Homology Homotopy Appl., Volume 9, Number 2 (2007), 19-94.
First available in Project Euclid: 23 January 2008
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 18E30: Derived categories, triangulated categories
Khovanov, Mikhail; Thomas, Richard. Braid cobordisms, triangulated categories, and flag varieties. Homology Homotopy Appl. 9 (2007), no. 2, 19--94. https://projecteuclid.org/euclid.hha/1201127331