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The Value of the Kac Polynomial at One

Representation Theory 2016-08-12 v1 Algebraic Geometry

Abstract

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.

Cite

@article{arxiv.1608.03419,
  title  = {The Value of the Kac Polynomial at One},
  author = {Hans Franzen and Thorsten Weist},
  journal= {arXiv preprint arXiv:1608.03419},
  year   = {2016}
}

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16 pages