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

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Dos Santos Santana Forte Vaz, Pedro [UCL]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2010
Language Anglais
Journal information "International Journal of Mathematics and Mathematical Sciences" - Vol. 2010, p. 1-23 (2010)
Peer reviewed yes
issn 0161-1712
e-issn 1687-0425
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
  1. Bar-Natan Dror, Khovanov’s homology for tangles and cobordisms, 10.2140/gt.2005.9.1443
  2. Clark David, Morrison Scott, Walker Kevin, Fixing the functoriality of Khovanov homology, 10.2140/gt.2009.13.1499
  3. KHOVANOV MIKHAIL, TRIPLY-GRADED LINK HOMOLOGY AND HOCHSCHILD HOMOLOGY OF SOERGEL BIMODULES, 10.1142/s0129167x07004400
  4. Khovanov Mikhail, sl(3) link homology, 10.2140/agt.2004.4.1045
  5. Mackaay Marco, Vaz Pedro, The universalsl3–link homology, 10.2140/agt.2007.7.1135
  6. The combinatorics of Harish-Chandra bimodules., 10.1515/crll.1992.429.49
Bibliographic reference Dos Santos Santana Forte Vaz, Pedro. The Diagrammatic Soergel Category and sl(2) and sl(3) Foams. In: International Journal of Mathematics and Mathematical Sciences, Vol. 2010, p. 1-23 (2010)
Permanent URL http://hdl.handle.net/2078/114128