The limiting shape of one-dimensional Teichmüller spaces

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the Bers embedding of the Teichmüller space of a once-punctured torus converges to the cardioid in the sense of Carathéodory up to rotation when the base torus goes to the boundary of its moduli space.

Original languageEnglish
Pages (from-to)2849-2858
Number of pages10
JournalProceedings of the American Mathematical Society
Volume136
Issue number8
DOIs
Publication statusPublished - 2008 Aug

Keywords

  • Cardioid
  • Holomorphic motion
  • Once-punctured torus
  • Teichmüller space

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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