International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 612360, 23 pages
doi:10.1155/2010/612360
Research Article

The Diagrammatic Soergel Category and sl(2) and sl(3) Foams

Pedro Vaz1,2

1Institut de Mathématiques de Jussieu, Université Paris 7, 175 Rue du Chevaleret, 75013 Paris, France
2CAMGSD, Instituto Superior Técnico, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal

Received 17 November 2009; Accepted 8 March 2010

Academic Editor: Aaron Lauda

Copyright © 2010 Pedro Vaz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We define two functors from Elias and Khovanov's diagrammatic Soergel category, one targeting Clark-Morrison-Walker's category of disoriented sl(2) cobordisms and the other targeting the category of (universal) sl(3) foams.