1
vote
0answers
94 views

Teichmuller curves in H(2)

Does anyone know how to prove the infinite union of Teichmuller curves in $\Omega \mathcal{M}_2(2)$ is dense in strata $\Omega \mathcal{M}_2(2)$? Where $\Omega \mathcal{M}_2(2)$ is the space of ...
8
votes
1answer
1k views

What is “Teichmüller Theory” and its history ?

What is "Teichmüller Theory" ? What part has been worked out / forseen by O. Teichmüller himself and what is further development ? Is there some current work which might be considered as ...
2
votes
0answers
135 views

Algebraic vs. topological study of deformations — deformation stacks vs. topologized deformation spaces

In my limited understanding, one can always find a category that captures the data of a deformation problem. But for a given deformation problem with a topologized deformation space, is there any ...
3
votes
1answer
605 views

Basic Questions about Teichmuller's theorem/quadratic differentials

I have some basic questions about Teichmuller's theorem, since I am a beginner, my questions might be very basic. If you can give some hints/answers or cite some references to study from, I will ...