Bers embedding of the Teichmüller space of a once-punctured torus

Yohei Komori*, Toshiyuki Sugawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


In this note, we present a method of computing monodromies of projective structures on a once-punctured torus. This leads to an algorithm numerically visualizing the shape of the Bers embedding of a one-dimensional Teichmüller space. As a by-product, the value of the accessory parameter of a four-times punctured sphere will be calculated in a numerical way as well as the generators of a Fuchsian group uniformizing it. Finally, we observe the relation between the Schwarzian differential equation and Heun's differential equation in this special case.

Original languageEnglish
JournalConformal Geometry and Dynamics
Publication statusPublished - 2004 Dec 1
Externally publishedYes


  • Accessory parameter
  • Bending coordinates
  • Bers embedding
  • Monodromy
  • Once-punctured torus
  • Pleating ray
  • Teichmueller space
  • Teichmuller space

ASJC Scopus subject areas

  • Geometry and Topology


Dive into the research topics of 'Bers embedding of the Teichmüller space of a once-punctured torus'. Together they form a unique fingerprint.

Cite this