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A global Inverse Map Theorem and biLipschitz maps in the Heisenberg group

✍ Scribed by Nicola Arcozzi; Daniele Morbidelli

Book ID
107392557
Publisher
Springer-Verlag
Year
2006
Tongue
German
Weight
152 KB
Volume
52
Category
Article
ISSN
0430-3202

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The mapping class group and a theorem of
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✍ John D. McCarthy; Athanase Papadopoulos πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 96 KB

In (Masur and Wolf, 1995), Masur and Wolf proved that the TeichmΓΌller space of genus g > 1 surfaces with the TeichmΓΌller metric is not a Gromov hyperbolic space. In this paper, we provide an alternative proof based upon a study of the action of the mapping class group on TeichmΓΌller space.