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Spirals in the boundary of slices of quasi-Fuchsian space
Author(s):
Dan
Goodman
Journal:
Conform. Geom. Dyn.
10
(2006),
136-158.
MSC (2000):
Primary 37F45;
Secondary 37F30
Posted:
July 27, 2006
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Additional information
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.
References:
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Additional Information:
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:
goodman@maths.warwick.ac.uk, dan.goodman@cantab.net
DOI:
10.1090/S1088-4173-06-00133-0
PII:
S 1088-4173(06)00133-0
Keywords:
Maskit slice,
Bers slice,
quasi-Fuchsian space,
spiral,
once-punctured torus
Received by editor(s):
December 19, 2004
Received by editor(s) in revised form:
August 5, 2005
Posted:
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 of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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