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math.QA2006★ 18 cited
An invariant of tangle cobordisms via subquotients of arc rings
Yanfeng Chen, Mikhail Khovanov
We construct an explicit categorification of the action of tangles on tensor powers of the fundamental representation of quantum sl(2).
math.QA2006★ 6 cited
Categorification of level two representations of quantum sl(N) via generalized arc rings
Yanfeng Chen
We build extensions of the arc rings, relate their centers to the cohomology rings of the Springer varieties, and categorify all level two representations of quantum sl(N).