Can I read Knot homology via derived categories of coherent sheaves I, sl(2) case on EtoBox?

Knot homology via derived categories of coherent sheaves I, sl(2) case by Cautis, Sabin; Kamnitzer, Joel is a scholarly article available to read on EtoBox.

What is Knot homology via derived categories of coherent sheaves I, sl(2) case about?

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.

Author

Cautis, Sabin; Kamnitzer, Joel

Published

2007

Language

EN