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Spirals in the boundary of quasifuchsian space

My paper Spirals in the boundary of slices of quasifuchsian space was published by the Journal of Conformal Geometry and Dynamics. The abstract reads:
We prove that the Bers and Maskit slices of the quasifuchsian space of a once punctured torus have a dense, uncountable set of points in their boundaries about which the boundary spirals infinitely.

You can download my version (slightly different to the published version) in PDF format (340k).

Below is a series of zooms into the Maskit slice, clockwise from top left to bottom right, illustrating the phenomenon of spirals in the boundary of the Maskit slice.

 


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spirals.pdf339.63 KB
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