A refinement of the A-polynomial of quivers
classification
🧮 math.RT
keywords
a-polynomialformularefinementbettibundlescasecharacterconjecturally
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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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