Knot Homology via Derived Categories of Coherent Sheaves Ii

@inproceedings{Kamnitzer2008KnotHV,
  title={Knot Homology via Derived Categories of Coherent Sheaves Ii},
  author={Joel Kamnitzer},
  year={2008}
}
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. 
Highly Cited
This paper has 18 citations. REVIEW CITATIONS

References

Publications referenced by this paper.
Showing 1-10 of 18 references

A link invariant from the symplectic geometry of nilpotent slices

P. Seidel, I. Smith
Duke Math. J. 134, • 2006

Fourier-Mukai Transforms in Algebraic Geometry

D. Huybrechts
Oxford University Press • 2006
View 1 Excerpt

Horja, Derived Category Automorphisms from Mirror Symmetry

R. P. Ho
Duke Math. J • 2005

Vybornov, On quiver varieties and affine Grassmannians of type A, C

M. I. Mirković
R. Math. Acad. Sci. Paris • 2003

Similar Papers

Loading similar papers…