The diagrammatic Soergel category and sl(N)-foams, for N > 3

Details The diagrammatic Soergel category and sl(N)-foams, for N > 3 The diagrammatic Soergel category and sl(N)-foams, for N > 3

2009-11-12

arxiv.org/abs/0911.2485v2

Mathematics

Quantum Algebra

v2, minor corrections, 17 pages, lots of figures

Scientific paper

For each N > 3, we define a monoidal functor from Elias and Khovanov's
diagrammatic version of Soergel's category of bimodules to the category of
sl(N) foams defined by Mackaay, Stosic and Vaz. We show that through these
functors Soergel's category can be obtained from the sl(N) foams.

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