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International Journal of Mathematics and Mathematical Sciences
Volume 2010, Article ID 612360, 23 pages
http://dx.doi.org/10.1155/2010/612360
Research Article

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

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.

Linked References

  1. B. Elias and M. Khovanov, “Diagrammatics for Soergel categories,” http://arxiv.org/abs/0902.4700.
  2. D. Clark, S. Morrison, and K. Walker, “Fixing the functoriality of Khovanov homology,” Geometry & Topology, vol. 13, no. 3, pp. 1499–1582, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. M. Mackaay and P. Vaz, “The universal sl3-link homology,” Algebraic & Geometric Topology, vol. 7, pp. 1135–1169, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  4. M. Khovanov, “Triply-graded link homology and Hochschild homology of Soergel bimodules,” International Journal of Mathematics, vol. 18, no. 8, pp. 869–885, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. D. Bar-Natan, “Khovanov's homology for tangles and cobordisms,” Geometry and Topology, vol. 9, pp. 1443–1499, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. M. Khovanov, “sl(3) link homology,” Algebraic & Geometric Topology, vol. 4, pp. 1045–1081, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. M. Mackaay and P. Vaz, “The diagrammatic Soergel category and sl(N)-foams, for N4,” http://arxiv.org/abs/0911.2485.
  8. J. Rasmussen, “Some differentials on Khovanov-Rozansky homology,” http://arxiv.org/abs/math/0607544.
  9. B. Elias and D. Krasner, “Rouquier complexes are functorial over braid cobordisms,” http://arxiv.org/abs/0906.4761.
  10. W. Soergel, “The combinatorics of Harish-Chandra bimodules,” Journal für die Reine und Angewandte Mathematik, vol. 429, pp. 49–74, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. B. Elias, “A Diagrammatic Temperley-Lieb Categorification,” http://arxiv.org/abs/1003.3416.