We construct an explicit categorification of the action of tangles on tensor powers of the fundamental representation of quantum sl(2).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm225-1-2, author = {Yanfeng Chen and Mikhail Khovanov}, title = {An invariant of tangle cobordisms via subquotients of arc rings}, journal = {Fundamenta Mathematicae}, volume = {227}, year = {2014}, pages = {23-44}, zbl = {1321.57031}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm225-1-2} }
Yanfeng Chen; Mikhail Khovanov. An invariant of tangle cobordisms via subquotients of arc rings. Fundamenta Mathematicae, Tome 227 (2014) pp. 23-44. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm225-1-2/