sl(3)-Foams and the Khovanov-Lauda categorification of quantum sl(k)

Mathematics – Quantum Algebra

Scientific paper

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20 pages, lots of figures

Scientific paper

In this paper I define certain interesting 2-functors from the Khovanov-Lauda
2-category which categorifies quantum sl(k), for any k>1, to a 2-category of
universal sl(3) foams with corners. For want of a better name I use the term
"foamation" to indicate those 2-functors. I conjecture the existence of similar
2-functors to the 2-category of sl(n) foams with corners, for any n>1.

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