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

2026/07/28 by 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(ψ^-nX, ψⁿ X) associated with a pseudo-Anosov mapping class ψ 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 ψ by at most a uniformly bounded constant.

Citations

• Inflexibility, Weil-Petersson distance, and volumes of fibered\n 3-manifolds
• Triangulated cores of punctured-torus groups
• The classification of Kleinian surface groups, II: The Ending Lamination Conjecture
• Pleating invariants for punctured torus groups

Related

• Triangulated cores of punctured-torus groups
• Volumes of quasifuchsian manifolds
• The renormalized volume and the volume of the convex core of quasifuchsian manifolds
• Pleating invariants for punctured torus groups
• Renormalized volume and the volume of the convex core