Volumes of end-periodic mapping tori

Marissa Loving

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arXiv · 2508.14244

Volumes of end-periodic mapping tori

Marissa Loving

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Abstract

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, called end-periodic homeomorphisms, to the geometry of their associated (compactified) mapping tori. These results are analogues of a theorem of Brock in the finite-type setting for mapping tori of pseudo-Anosov homeomorphisms.

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Marissa Loving. 2025-08-19. Volumes of end-periodic mapping tori. https://arxiv.org/abs/2508.14244

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