On Khovanov’s categorification of the Jones polynomial

  title={On Khovanov’s categorification of the Jones polynomial},
  author={Dror Bar-Natan},
  journal={Algebraic \& Geometric Topology},
  • D. Bar-Natan
  • Published 7 January 2002
  • Mathematics
  • Algebraic & Geometric Topology
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. 

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Categorification/ carries the text of the paper and all programs and data mentioned in it

  • Much of it

Algebraic & Geometric Topology

  • Algebraic & Geometric Topology
  • 2002

The Kauffman Bracket: 〈∅〉 = 1; 〈©L〉 = (q + q−1)〈L〉

  • 2004