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 language | English |
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Pages (from-to) | 2849-2858 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 136 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2008 Aug |
Keywords
- Cardioid
- Holomorphic motion
- Once-punctured torus
- Teichmüller space
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics