D. Bar-Natan
2002.1.7Algebraic and Geometric Topology
tlooto Summary
Khovanov's categorification of the Jones polynomial is explored in this 2002 article, providing a diagram-rich and computationally-intensive glimpse into its novel construction.
Abstract
The working mathematician fears complicated words but loves pictures and diagrams. We thus give a no-fancy-anything picture rich glimpse into Khovanov's novel construction of "the categorification of the Jones polynomial". For the same low cost we also provide some computations, including one that shows that Khovanov's invariant is strictly stronger than the Jones polynomial and including a table of the values of Khovanov's invariant for all prime knots with up to 11 crossings.
Citation format
BAR-NATAN, D. On khovanov’s categorification of the jones polynomial [preprint]. arXiv, 2002. arXiv:math/0201043.