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Jun
6
comment teichmuller geodesics and hyperbolic mapping torus
Lee - as you suspected, no uniform estimate can exist. See my answer for a family of examples (which also cover the WP metric.)
May
28
awarded  Nice Answer
Apr
26
comment teichmuller geodesics and hyperbolic mapping torus
Dylan - $\ell$ need not track $\sigma$, even in the WP metric. See my answer for a sketch of this.
Apr
26
revised teichmuller geodesics and hyperbolic mapping torus
wording
Apr
26
comment Pseudoanosov mapping torus and length of curves.
Yes - this always happens if $S - X$ is more than a collection of annuli and pairs of pants.
Apr
26
revised teichmuller geodesics and hyperbolic mapping torus
added remark about the thin part...
Apr
26
answered teichmuller geodesics and hyperbolic mapping torus
Apr
26
comment Explicit examples of Dehn presentations of hyperbolic groups
The argument for this relation is the same, because it and the one you give yield identical tilings of the hyperbolic plane.
Apr
26
revised Explicit examples of Dehn presentations of hyperbolic groups
change intro
Apr
26
revised Explicit examples of Dehn presentations of hyperbolic groups
added tag
Apr
26
answered Explicit examples of Dehn presentations of hyperbolic groups
Apr
18
awarded  Enlightened
Apr
17
revised Decomposition of a cross-polytope into simplices
Added a banner to make it clear this isn't an answer to the actual question.
Apr
17
comment Decomposition of a cross-polytope into simplices
Ok. I edited your question to make that clear, and fixed a typo. I'll leave my non-answer here just in case it helps anybody.
Apr
17
revised Decomposition of a cross-polytope into simplices
clarified question, fixed typo
Apr
16
comment Decomposition of a cross-polytope into simplices
Good point. I missed that. I will ask the original poster which kind of decomposition they actually wanted.
Apr
16
revised Decomposition of a cross-polytope into simplices
Found name
Apr
16
answered Decomposition of a cross-polytope into simplices
Apr
14
answered Must the powers of some element always grow linearly with respect to a word metric?
Apr
12
awarded  Necromancer