A refinement of the A-polynomial of quivers
Representation Theory
2018-03-30 v1
Abstract
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.
Cite
@article{arxiv.1102.5308,
title = {A refinement of the A-polynomial of quivers},
author = {Fernando Rodriguez Villegas},
journal= {arXiv preprint arXiv:1102.5308},
year = {2018}
}
Comments
8 pages