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- University of Illinois Urbana-ChampaignUS10 papers
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4 papers · 1 filter
Persistently foliar composite knots
Charles Delman, Rachel Roberts
A knot in is persistently foliar if, for each non-trivial boundary slope, there is a co-oriented taut foliation meeting the boundary of the knot complement transversely i…
Hyperbolic triangular prisms with one ideal vertex
Grant S. Lakeland, Corinne G. Roth
In this paper, we classify all of the five-sided three-dimensional hyperbolic polyhedra with one ideal vertex, which have the shape of a triangular prism. We show how to find each…
Strict contractions and exotic SO_0(d,1) quotients
Grant S. Lakeland, Christopher J Leininger
For d < 5, we describe an elementary construction of nonzero degree, strict contractions between closed, oriented hyperbolic d-oribifolds. Appealing to work of Gueritaud-Kassel and…
Equivalent trace sets for arithmetic Fuchsian groups
Grant S. Lakeland
We show that the modular group has an infinite family of finite index subgroups, each of which has the same trace set as the modular group itself. Various congruence subgroups of t…