# Tag Info

1 vote

### Canonically representing the monodromy of a hyperbolic manifold fibered over $S^1$

The pseudo-Anosov homeomorphism is a diffeomorphism away from finitely many points, so in general will not be a smooth diffeomorphism. However, for certain fibered knots there are not singularities ...
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### Canonically representing the monodromy of a hyperbolic manifold fibered over $S^1$

Here is an answer of sorts; it is not completely canonical though. First of all, you have to pick a conformal or hyperbolic structure on the fiber $\Sigma$. This can be made almost canonical, since ...
• 8,244
Accepted

### Inheritance of arithmeticity properties in orbifold strata

Here is what I think is the correct setup: Let $X$ be a symmetric space of noncompact type, $\Gamma$ is a lattice in the isometry group of $X$. Then $\Gamma$ has finitely many $\Gamma$-conjugacy ...
• 8,244
Haettel is correct that the statement being used is part of the proof of the Tits alternative for HHGs. There are more explicit references for the fact you mention. The statement is that, if $H$ is a ...