• Corpus ID: 119594024

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

  title={Knot homology via derived categories of coherent sheaves I, sl(2) case},
  author={Sabin Cautis and Joel Kamnitzer},
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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