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January 2020 Intersection number and some metrics on Teichmüller space
Zongliang Sun, Hui Guo
Osaka J. Math. 57(1): 141-149 (January 2020).

Abstract

Let $T(X)$ be the Teichmüller space of a closed surface $X$ of genus $g \geq 2,$ $C(X)$ be the space of geodesic currents on $X,$ and $L: T(X) \to C(X)$ be the embedding introduced by Bonahon which maps a hyperbolic metric to its corresponding Liouville current. In this paper, we compare some quantitative relations and topological behaviors between the intersection number and the Teichmüller metric, the length spectrum metric and Thurston's asymmetric metrics on $T(X),$ respectively.

Citation

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Zongliang Sun. Hui Guo. "Intersection number and some metrics on Teichmüller space." Osaka J. Math. 57 (1) 141 - 149, January 2020.

Information

Published: January 2020
First available in Project Euclid: 15 January 2020

zbMATH: 07196619
MathSciNet: MR4052632

Subjects:
Primary: 30F60
Secondary: 32G15, 57M50

Rights: Copyright © 2020 Osaka University and Osaka City University, Departments of Mathematics

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Vol.57 • No. 1 • January 2020
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