Knot homology via derived categories of coherent sheaves I, sl(2) case
Abstract
Description
Using 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 corrections
52 pages, 5 figures v2: minor corrections