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math.GT2026
Foliations forcing closed orbits
Ellis Buckminster, Audrey Rosevear
We study foliations which force every transverse flow to have a closed orbit. We fully characterize this property among finite depth foliations on atoroidal 3-manifolds. We a…
math.GT2026
Cannon--Thurston maps for Anosov foliations
Ellis Buckminster
Universal circles, introduced by Thurston and Calegari--Dunfield, are not well understood in general. Recently, the author together with Taylor showed that Anosov foliations with b…
math.GT2025
Universal circles for Anosov foliations
Ellis Buckminster, Samuel J. Taylor
Thurston introduced the notion of a universal circle associated to a taut foliation of a -manifold as a way of organizing the ideal circle boundaries of its leaves into a single…