Categorification of level two representations of quantum sl(N) via generalized arc rings

Abstract

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).

30 pages; 19 figures

References in corpus (2)

• A functor-valued invariant of tangles
• An invariant of tangle cobordisms via subquotients of arc rings

Cited by in corpus (2)

• Highest weight categories arising from Khovanov's diagram algebra III: category O
• An invariant of tangle cobordisms via subquotients of arc rings