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arXiv · 0710.3216

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

Sabin Cautis·Joel Kamnitzer
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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.

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Sabin Cautis, Joel Kamnitzer. 2008-04-05. Knot homology via derived categories of coherent sheaves II, sl(m) case. https://doi.org/10.1007/s00222-008-0138-6

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