Algebraic and Geometric Topology 2 (2002),
paper no. 16, pages 337-370.
On Khovanov's categorification of the Jones polynomial
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
The program and associated data files can be downloaded:
Categorification, Kauffman bracket, Jones polynomial, Khovanov, knot invariants
AMS subject classification.
Submitted: 13 January 2002.
Accepted: 27 February 2002.
Published: 21 May 2002.
Notes on file formats
Institute of Mathematics, The Hebrew University
Giv'at-Ram, Jerusalem 91904, Israel
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