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math.GT2025
Volumes of end-periodic mapping tori
Marissa Loving
In this expository paper, we provide an intuition and illustration-driven overview of two recent results that tie the dynamics of certain homeomorphisms of infinite-type surfaces,…
math.GT2025
The arc complex is not quasi-isometric to the sphere complex
Tarik Aougab, Marissa Loving
We show that the arc complex is not quasi-isometric to the sphere complex associated to the double of a genus handlebody. Along the wa…
math.GT2025
A lower bound on end-periodic stretch factors
Marissa Loving, Chenxi Wu
Given an end-periodic homeomorphism we give a lower bound on the Handel--Miller stretch factor of in terms of the core characteristic of , which is a measure of…