Knot homology via derived categories of coherent sheaves II, sl(m) case

Abstract

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.

51 pages, 9 figures

References in corpus (1)

• Derived McKay correspondence via pure-sheaf transforms

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