Smooth Character Varieties for Torus Knot Groups
Jan Adriaenssens, Raf Bocklandt, Geert Van de Weyer
Abstract
Semisimple representations of the free product Zp*Zq determine θ-semistable representations of a specific quiver Qpq. The dimension vectors of θ-stable representations of this quiver were classified by Le Bruyn and Adriaenssens. In this paper we classify the moduli spaces Mαss(Qpq,θ) which are smooth projective varieties.
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