Quiver varieties and fusion products for sl_2
Quantum Algebra
2012-02-28 v2
Abstract
We construct the fusion product of finite-dimensional sl_2-modules in the homology of (or in the space of constructible functions on) a certain subvariety L_l(w_1, ..., w_r) of Nakajima's tensor product variety L(w_1,..., w_r). We also give a combinatorial description of the irreducible components of this subvariety using the notions of graphical calculus and crossingless matches for sl_2.
Cite
@article{arxiv.math/0205286,
title = {Quiver varieties and fusion products for sl_2},
author = {Alistair Savage and Olivier Schiffmann},
journal= {arXiv preprint arXiv:math/0205286},
year = {2012}
}
Comments
11 pages, Latex. v2: Some minor typos corrected