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

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

2007-10-17

arxiv.org/abs/0710.3216v2

Mathematics

Algebraic Geometry

51 pages, 9 figures

Scientific paper

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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