Knot homology via derived categories of coherent sheaves I, sl(2) case
Algebraic Geometry
2007-10-17 v2 Quantum Algebra
Abstract
Using derived categories of equivariant coherent sheaves, we construct a categorification of the tangle calculus associated to sl(2) and its standard representation. Our construction is related to that of Seidel-Smith by homological mirror symmetry. We show that the resulting doubly graded knot homology agrees with Khovanov homology.
Cite
@article{arxiv.math/0701194,
title = {Knot homology via derived categories of coherent sheaves I, sl(2) case},
author = {Sabin Cautis and Joel Kamnitzer},
journal= {arXiv preprint arXiv:math/0701194},
year = {2007}
}
Comments
52 pages, 5 figures v2: minor corrections