Mathematics – Representation Theory
Scientific paper
2011-02-25
Mathematics
Representation Theory
8 pages
Scientific paper
We study a refinement of the A-polynomial in the case of the g-loop quiver.
We give an explicit formula for its value at q=1. Conjecturally this implies a
formula for the middle Betti number of the moduli space of Higgs bundles or
equivalently of the character variety of a Riemann surface of genus g.
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