Abstract:We prove that the Bers and Maskit slices of the quasi-Fuchsian space of a once-punctured torus have a dense, uncountable set of points in their boundaries about which the boundary spirals infinitely.
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- Dan Goodman
- Affiliation: 68 New Street, Leamington Spa, CV31 1HL, United Kingdom
- Address at time of publication: 73 Huddleston Road, London, N7 0AE, United Kingdom
- Email: firstname.lastname@example.org, email@example.com
- Received by editor(s): December 19, 2004
- Received by editor(s) in revised form: August 5, 2005
- Published electronically: July 27, 2006
- Additional Notes: The author would like to thank Caroline Series for extensive advice, and the referee for detailed comments on an earlier draft.
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
- Journal: Conform. Geom. Dyn. 10 (2006), 136-158
- MSC (2000): Primary 37F45; Secondary 37F30
- DOI: https://doi.org/10.1090/S1088-4173-06-00133-0
- MathSciNet review: 2237277