Tagged Questions
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Consequence of the compactness of a hyperbolic surface
As part of a course I'm taking this semester, I am studying surfaces from this book http://www.math.brown.edu/~res/Papers/surfacebook.pdf.
On page 142, the author presents a proof of the fact that ...
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ruling out non Pseudo-anosov automorphisms
We are given a fibration $S\to M\to S^1$ where S is a compact hyperbolic surface, M a 3-manifold and $S^1$ the circle. Topologically speaking, it is clear that M has to be the mapping torus ...
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Point on a surface with no geodesics passing through
Take an orientable surface $S_g^s$ of genus $g$ with no boundaries and $s$ points removed and fix a complete hyperbolic metric of finite area (assuming that the Euler characteristic allows an ...