Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis

Hideki Miyachi ()
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Hideki Miyachi: Kanazawa University, School of Mathematics and Physics, College of Science and Engineering

Chapter Chapter 13 in In the Tradition of Thurston, 2020, pp 497-526 from Springer

Abstract: Abstract The aim of this chapter is to report on a recent progress of the author’s research on Complex analysis on Teichmüller space based on Thurston’s theory on surface topology. The main goal is to give a characterization of the pluriharmonic measures and the Poisson kernel (in the sense of Demailly) on the Bers slices via Extremal length geometry.

Keywords: Teichmüller space; The Teichmüller distance; Extremal length; Bers slice; Pluricomplex Green function; Pluriharmonic measure; 30F60; 30F40; 30F25; 32G15; 31B05; 31B10; 32U05; 32U35 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-55928-1_13

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DOI: 10.1007/978-3-030-55928-1_13

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