Quiver varieties and fusion products for sl2
Alistair Savage, Olivier Schiffmann
Abstract
We construct the fusion product of finite-dimensional sl2-modules in the homology of (or in the space of constructible functions on) a certain subvariety Ll(w1, ..., wr) of Nakajima's tensor product variety L(w1,..., wr). We also give a combinatorial description of the irreducible components of this subvariety using the notions of graphical calculus and crossingless matches for sl2.
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