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Abstract
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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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Keywords
categorification, Kauffman bracket, Jones polynomial,
Khovanov, knot invariants
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Mathematical Subject Classification 2000
Primary: 57M25
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Publication
Received: 13 January 2002
Accepted: 27 February 2002
Published: 21 May 2002
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