Advanced search
Publication Cover
Experimental Mathematics Volume 15, 2006 - Issue 1
Submit an article Journal homepage
37
Views
5
CrossRef citations to date
0
Altmetric
Original Article

Drawing Bers Embeddings of the Teichmüller Space of Once-Punctured Tori

Yohei Komori Department of Mathematics, Osaka City University, Osaka, 558-8585, Japan
,
Toshiyuki Sugawa Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan
,
Masaaki Wada Department of Information and Computer Sciences, Nara Women's University, Nara, 630-8506, Japan
&
Yasushi Yamashita Department of Information and Computer Sciences, Nara Women's University, Nara, 630-8506, Japan
Pages 51-60 | Published online: 30 Jan 2011

  • H. Akiyoshi, M. Sakuma, M. Wada, and Y. Yamashita. "Punctured Torus Groups and 2-Bridge Knot Groups." In preparation.
  • L. Bers. "Uniformization, Moduli and Kleinian Groups." Bull. London Math. Soc. 4 (1972), 257–300.
  • A. R. Forsyth. Theory of Differential Equations, Part III. Vol. IV. Cambridge: Cambridge University Press (1902).
  • W. M. Goldman. "Projective Structures with Fuchsian Holonomy." J. Diff. Geom. 25 (1987), 297–326.
  • K. Ito. "Exotic Projective Structures and Quasi- Fuchsian Spaces." Duke Math. J. 105 (2000), 185–200.
  • T. Jørgensen. "On Pairs of Once-Punctured Tori." London Math. Soc. Lec. Notes 299 (2003), 183–207.
  • Y. Komori and T. Sugawa "Bers Embedding of the Teichmüller Space of a Once-Punctured Torus." Conform. Geom. Dyn. 8 (2004), 115–142.
  • B. Maskit. "On a Class of Kleinian Groups." Ann. Acad. Sci. Fenn. Ser. A 442 (1969), 1–8.
  • C. McMullen. "Renormalization and 3- Manifolds Which Fiber over the Circle." Ann. of Math. Stud. 142 (1996).
  • H. Miyachi. "Cusps in Complex Boundaries of One-Dimensional Teichmüller Space." Conform. Geom. Dyn. 7 (2003), 103–151.
  • H. Shiga. "Projective Structures on Riemann Surfaces and Kleinian Groups." J. Math. Kyoto Univ. 27:3 (1987), 433–438.
  • H. Shiga and H. Tanigawa. "Projective Structures with Discrete Holonomy Representations." Trans. Amer. Math. Soc. 351 (1999), 813–823.
  • T. Sugawa. "Estimates of Hyperbolic Metric with Applications to Teichmüller Spaces." Kyungpook Math. J. 42:1 (2002), 51–60.
  • http://www.cajpn.org/complex/Bers/. http://www.cajpn.org/complex/Bers/
  • H. Tanigawa. "Divergence of Projective Structures and Lengths of Measured Laminations." Duke Math. J. 98:2 (1999), 209–215.
  • M. Wada. "OPTi's Algorithm for Discreteness Determination." Experimental Math. 15:1 (2006), 61–66.
  • http://vivaldi.ics.nara-wu.ac.jp/~yamasita/Slice/ (program and pictures). http://vivaldi.ics.nara-wu.ac.jp/~yamasita/Slice/

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.