A refinement of the A-polynomial of quivers

Mathematics – Representation Theory

Scientific paper

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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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