On the Asymptotics of Convex Core Volumes of Once-Punctured Torus Groups

Hidetoshi Masai; Ryo Matsuda

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arXiv · 2607.25319

On the Asymptotics of Convex Core Volumes of Once-Punctured Torus Groups

Hidetoshi Masai·Ryo Matsuda

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Abstract

We study the asymptotic behavior of the convex core volume for a sequence of quasi-Fuchsian manifolds $Q(\psi^{-n}X, \psi^n X)$ associated with a pseudo-Anosov mapping class $\psi$ on a once-punctured torus. We prove that the volume of the convex core differs from $2n$ times the volume of the mapping torus of $\psi$ by at most a uniformly bounded constant.

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BibTeX RIS

Hidetoshi Masai, Ryo Matsuda. 2026-07-28. On the Asymptotics of Convex Core Volumes of Once-Punctured Torus Groups. https://arxiv.org/abs/2607.25319

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