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/