Brandis Whitfield

Short curves of end-periodic mapping tori

Let S be a boundaryless infinite-type surface with finitely many ends and consider an end-periodic homeomorphism f of S. The end-periodicity of f ensures that its associated mapping torus 𝑀 𝑓 has a compactification as a 3-manifold with boundary; further, if f is atoroidal then 𝑀...