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

Mathematics – Quantum Algebra

Scientific paper

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24 pages, LaTeX2e with xypic diagrams. v2 updates notation to match arXiv:0807.3250 and corrects misprints

Scientific paper

10.1007/s10468-009-9188-8

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).

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