The diagrammatic Soergel category and sl(2) and sl(3) foams
Quantum Algebra
2010-04-09 v4 Geometric Topology
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 the category of (universal) sl(3) foams.
Cite
@article{arxiv.0909.3495,
title = {The diagrammatic Soergel category and sl(2) and sl(3) foams},
author = {Pedro Vaz},
journal= {arXiv preprint arXiv:0909.3495},
year = {2010}
}
Comments
v4, minor changes, referee's comments implemented. v3, 20 pages, lots of figures, remark about the general case rewritten, one redundant relation removed from definition of SC1 and minor typos