Abstract
Using derived categories of equivariant coherent sheaves, we construct a categorification of the tangle calculus associated to and its standard representation. Our construction is related to that of Seidel and Smith [SS] by homological mirror symmetry. We show that the resulting doubly graded knot homology agrees with Khovanov homology (see [Kh1])
Citation
Sabin Cautis. Joel Kamnitzer. "Knot homology via derived categories of coherent sheaves, I: The -case." Duke Math. J. 142 (3) 511 - 588, 15 April 2008. https://doi.org/10.1215/00127094-2008-012
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