The Value of the Kac Polynomial at One
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math.AG
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polynomialquivervalueabelianapplyingcoveringestablishevaluated
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We establish a formula for the value of the Kac polynomial at one in terms of Kac polynomials, evaluated at one, of the universal (abelian) covering quiver by applying torus localization methods to quiver varieties introduced by Hausel--Letellier--Rodriguez-Villegas.
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