Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties
arXiv:0803.3848 · doi:10.1007/s10468-009-9188-8
Abstract
A 2-category was introduced in arXiv:0803.3652 [math.QA] that categorifies Lusztig's integral version of quantum sl(2). Here we construct for each positive integer N arepresentation of this 2-category using the equivariant cohomology of iterated flag varieties. This representation categorifies the irreducible (N+1)-dimensional representation of quantum sl(2).
24 pages, LaTeX2e with xypic diagrams. v2 updates notation to match arXiv:0807.3250 and corrects misprints