The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4

Dos Santos Santana Forte Vaz, Pedro;Mackaay, Marco
(2010) International Journal of Mathematics and Mathematical Sciences — Vol. 2010, p. 1-20 (2010)

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Abstract
For each N≥4, 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, Stošić, and Vaz. We show that through these functors Soergel's category can be obtained from the sl(N) foams.
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Dos Santos Santana Forte Vaz, P., & Mackaay, M. (2010). The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4. International Journal of Mathematics and Mathematical Sciences, 2010, 1-20. https://doi.org/10.1155/2010/468968 (Original work published 2010)