Knot homology via derived categories of coherent sheaves I, sl(2) case

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dc.creatorCautis, Sabin
dc.creatorKamnitzer, Joel
dc.date2007-01-06
dc.date2007-10-17
dc.date.accessioned2026-07-07T08:36:43Z
dc.date.available2026-07-07T08:36:43Z
dc.descriptionUsing derived categories of equivariant coherent sheaves, we construct a categorification of the tangle calculus associated to sl(2) and its standard representation. Our construction is related to that of Seidel-Smith by homological mirror symmetry. We show that the resulting doubly graded knot homology agrees with Khovanov homology.
dc.description52 pages, 5 figures v2: minor corrections
dc.identifierhttps://arxiv.org/abs/math/0701194
dc.identifierhttp://arxiv.org/abs/math/0701194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140160
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleKnot homology via derived categories of coherent sheaves I, sl(2) case
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