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

In: In the Tradition of Thurston

Author

Listed:
  • Hideki Miyachi

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

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.

Suggested Citation

  • Hideki Miyachi, 2020. "Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis," Springer Books, in: Ken’ichi Ohshika & Athanase Papadopoulos (ed.), In the Tradition of Thurston, chapter 0, pages 497-526, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-55928-1_13
    DOI: 10.1007/978-3-030-55928-1_13
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