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Results tagged with teichmuller-theory
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user 10046
23
votes
7
answers
7k
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What are some Applications of Teichmüller Theory?
I'm trying to collect some specific examples of applications of Teichmüller Theory. Here are some things I have collected thus far:
No-wandering-domain Theorem (Sullivan)
Theorems of Thurston (Class …
0
votes
2
answers
778
views
Unique Beltrami Differential of the form $k\frac{\bar{q}}{q}$?
I'm having a brain freeze.
Let $B$ be the space of complex valued measurable functions on the unit disk in the complex plane with essential supremum less than 1. Then, the universal Teichmuller space …
- 245
1
vote
1
answer
867
views
Is there an Error on pg. 17 of Tromba's "Teichmuller Theory in Riemannian Geometry"?
I'm pretty sure that this is a minor error, but I could use some help here. So the book I'm referring to in the title is this book (MR1164870).
On pg. 16-17, he is proving that the space of almost co …
- 245
3
votes
1
answer
413
views
Conjugate Groups of (quasi) Fuchsian Groups
I apologize in advance if this question is so trivial or too low level.
Let $\Gamma$ be a Fuchsian group. Let $\mathcal{F}$ be the set of pairs $(\mu,f)$, where $\mu \in L^\infty(\mathbb{C})$ such th …
- 245