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

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  • Marco Mackaay
  • Pedro Vaz

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 s l ( N ) foams defined by Mackaay, Stošić, and Vaz. We show that through these functors Soergel's category can be obtained from the s l ( N ) foams.

Suggested Citation

  • Marco Mackaay & Pedro Vaz, 2010. "The Diagrammatic Soergel Category and s l ( N ) -Foams, for N ≥ 4," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-20, July.
    • Handle: RePEc:hin:jijmms:468968
    DOI: 10.1155/2010/468968
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