Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties

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

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• 2-Kac-Moody algebras
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