Knot Homology via Derived Categories of Coherent Sheaves Ii

  title={Knot Homology via Derived Categories of Coherent Sheaves Ii},
  author={Joel Kamnitzer},
Using derived categories of equivariant coherent sheaves we construct a knot homology theory which categorifies the quantum sl(m) knot polynomial. Our knot homology naturally satisfies the categorified MOY relations and is conjecturally isomorphic to Khovanov-Rozansky homology. Our construction is motivated by the geometric Satake correspondence and is related to Manolescu’s by homological mirror symmetry. 
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