2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140160Using 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.52 pages, 5 figures v2: minor correctionsAlgebraic GeometryQuantum Algebratext