On Khovanov's categorification of the Jones polynomial

Details On Khovanov's categorification of the Jones polynomial On Khovanov's categorification of the Jones polynomial

2002-01-07

arxiv.org/abs/math/0201043v3

Algebraic and Geometric Topology 2 (2002) 337-370

Mathematics

Quantum Algebra

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-16.abs.html, 34 pages with

Scientific paper

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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