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math.GT2024
Cusp shape and fractional Dehn twists of fibred hyperbolic 3-manifolds
Misha Schmalian
Given a fibred hyperbolic 3-manifold with boundary, we coarsely relate the Euclidean geometry of its cusps to the classical fractional Dehn twist coefficient of its monodromy. This…
math.GT2024
Obstructing Anosov flows on cusped 3-manifolds
Misha Schmalian
Using results relating taut foliations and pseudo-Anosov flows, we find cusped hyperbolic 3-manifolds which are not the non-singular part of a pseudo-Anosov flow. In particular, we…