4 papers
Small representations of Seifert fiber space groups
Neil R Hoffman, Kathleen L Petersen
Let be a Seifert fiber space with non-abelian fundamental group and admitting a triangulation with tetrahedra. We show that there is a non-abelian $\text{PSL}(2, \mathbb{F}…
Symmetries and Detection of Surfaces by the Character Variety
Jay Leach, Kathleen Petersen
We extend Culler and Shalen's construction of detecting essential surfaces in 3-manifolds to 3-orbifolds. We do so in the setting of the character varie…
Character varieties of once-punctured torus bundles with tunnel number one
Kenneth L. Baker, Kathleen L. Petersen
We determine the PSL_2(C) and SL_2(C) character varieties of the once-punctured torus bundles with tunnel number one, i.e. the once-punctured torus bundles that arise from filling…
Conjugate Reciprocal Polynomials with all Roots on the Unit Circle
Kathleen L. Petersen, Christopher D. Sinclair
We study the geometry, topology and Lebesgue measure of the set of monic conjugate reciprocal polynomials of fixed degree with all roots on the unit circle. The set of such polynom…