Coordinates for quasi-Fuchsian punctured torus space

Details Coordinates for quasi-Fuchsian punctured torus space Coordinates for quasi-Fuchsian punctured torus space

1998-10-27

arxiv.org/abs/math/9810199v1

Geom. Topol. Monogr. 1 (1998), 451-478

Mathematics

Geometric Topology

28 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper22.abs.html

Scientific paper

We consider complex Fenchel-Nielsen coordinates on the quasi-Fuchsian space of punctured tori. These coordinates arise from a generalisation of Kra's plumbing construction and are related to earthquakes on Teichmueller space. They also allow us to interpolate between two coordinate systems on Teichmueller space, namely the classical Fuchsian space with Fenchel-Nielsen coordinates and the Maskit embedding. We also show how they relate to the pleating coordinates of Keen and Series.

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