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math.GT2026
Singularity of Cannon-Thurston maps
Vaibhav Gadre, Joseph Maher, Catherine Pfaff +1
In a closed fibered hyperbolic 3-manifold M ,the inclusion of a fiber S, with S and M lifted to the universal covers, gives an exponentially distorted embedding of the hyperbolic p…
math.GT2025
Quasi-geodesics in the Cannon-Thurston metric
Vaibhav Gadre, Joseph Maher, Catherine Pfaff +1
A closed fibered 3-manifold admits a complete hyperbolic metric if and only if it has a fibration with a pseudo-Anosov monodromy. The stable and the unstable laminations associated…
math.GT2024
Collar parameters for Teichmuller Space & Measured Foliations on a Surface Research Announcement
Daryl Cooper, Catherine Pfaff
We defined a new set of coordinates with respect to which the Thurston compactification of Teichmuller space is the radial compactification of Euclidean space.