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

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

2007-01-06

arxiv.org/abs/math/0701194v2

Mathematics

Algebraic Geometry

52 pages, 5 figures v2: minor corrections

Scientific paper

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.

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