Braid cobordisms, triangulated categories, and flag varieties

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dc.creatorKhovanov, Mikhail
dc.creatorThomas, Richard
dc.date2006-09-12
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:20:35Z
dc.date.available2026-07-07T08:20:35Z
dc.descriptionWe 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.
dc.descriptionComment added noting faithfulness of braid group action on D(T*Flag). Referee's comments incorporated to make paper more readable. 90 pages, 21 figures
dc.identifierhttps://arxiv.org/abs/math/0609335
dc.identifierhttp://arxiv.org/abs/math/0609335
dc.identifierHomology, Homotopy and Applications 9, 19--94, 2007.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135108
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subject18E30
dc.titleBraid cobordisms, triangulated categories, and flag varieties
dc.typetext

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