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Results tagged with riemann-surfaces
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user 20516
Riemann surfaces(Riemannian surfaces) is one dimensional complex manifold. For questions about classical examples in complex analysis, complex geometry, surface topology.
5
votes
2
answers
470
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Fenchel-Nielsen length-length coordinates on Teichmueller space?
Let $S$ be closed hyperbolic surface with genus $g\geq 2$. Let $Teich(S)$ be the Teichmueller space of $S$. It's well known that $Teich(S)$ is diffeomorphic to a (6g-6)-dimensional cell, where a coord …
- 2,274
2
votes
1
answer
216
views
Is action of MCG on the curve complex computable for closed surfaces? [Yes: Birman Exact Seq...
$\DeclareMathOperator\MCG{MCG}$Let $\Gamma=\MCG(S_{g, 0,0 })$ be mapping class group of closed hyperbolic surfaces. Let $V=C^0(S)$ be the set of vertices of the simplicial curve complex. We are studyi …
- 2,274
3
votes
Is a non-compact Riemann surface an open subset of a compact one ?
Useful references for your question are Robert Brooks' "Platonic surfaces" and Dan Mangoubi's "Conformal Extension of Metrics of Negative Curvature" (both on arxiv).
I emailed Luca Migliorini requ …
- 2,274
6
votes
Accepted
Belyi functions on non-compact surfaces; or: Building Riemann surfaces from equilateral tria...
As you may possibly already be aware, there is a parallel phenomenon in circle packing riemann surfaces.
Those compact riemann surfaces admitting full circle packings are a countable dense subset of …
- 2,274
2
votes
Schottky locus in genus 2
Geoffrey Mess' paper "The Torelli group of genus 2 or 3 surfaces" provides two proofs of this fact---one cohomological and the other topological. But I understand neither. Maybe somebody could provide …
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