Spirals in the boundary of slices of quasi-Fuchsian space

Goodman, Dan

doi:10.1090/S1088-4173-06-00133-0

Spirals in the boundary of slices of quasi-Fuchsian space
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by Dan Goodman

Conform. Geom. Dyn. 10 (2006), 136-158

DOI: https://doi.org/10.1090/S1088-4173-06-00133-0

Published electronically: July 27, 2006

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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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The shape of the boundary of Maskit’s embedding of the Teichmüller space of once-punctured tori