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24 votes
2 answers
2k views

Is it possible to realize the Moebius strip as a linear group orbit?

On MSE this got 5 upvotes but no answers not even a comment so I figured it was time to cross-post it on MO: Is the Moebius strip a linear group orbit? In other words: Does there exists a Lie group $ ...
Ian Gershon Teixeira's user avatar
2 votes
0 answers
83 views

A quasi-isometric embedding of a convex cocompact subgroup

I am currently reading a paper where they state the following claim: "For a convex cocompact representation $\rho: \Gamma \to G$, the existence of a cocompact invariant convex set $\mathcal{C}$ ...
JohannesPauling's user avatar
4 votes
0 answers
83 views

Points of failure in definition of X- and A-moduli spaces for arbitrary G

In their work [0] on defining notions of higher Teichmüller space for local systems on surfaces, Fock and Goncharov require split reductive Lie groups, and sometimes also require simple-connectedness. ...
Robert Haraway's user avatar
4 votes
2 answers
363 views

Complexification or 'real'ization of Mapping Class group.

So is there a complexification or 'real'ization of the mapping class group or can it be realised as a lattice in some lie group. like $PSL(2, \mathbb Z)$ in $PSL(2, \mathbb R)$. for g=1 this certainly ...
Anant Atyam's user avatar
11 votes
1 answer
258 views

Algorithmic Borel finiteness for hyperbolic manifolds

It is a theorem of Borel that there is a finite number of arithmetic hyperbolic manifolds of volume bounded above by $V.$ Is there any algorithm (or hope of an algorithm) to actually construct all of ...
Igor Rivin's user avatar
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