Matings and Thurston obstruction

The investigation of the asymptotic behav- ior of stretch lines involves a series of estimates on the length functions of simple closed geodesics and of geodesic laminations

When using a standard signed distance function (or distance underesti- mator), the length of the steps becomes very small as a geodesic ray passes very close to the scene

According to Proposition 1.10, x admits an essential reduction curve surrounding 3 punctures if and only if y pre- serves one of the six curves in Figure 2.. The check whether this

The argument of the proof above actually shows the stronger result that for any given Nielsen-Thurston ordering of finite type ≺, there exists another finite-type

Thurston built a compactification of the Teichm¨ uller space Teich(Σ) consisting of a closed ball lying in an infinite dimensional projective space.. (∗) Re¸cu le 03/03/2011,

The first approximation of the Peano curve γ 1 will be given as the boundary circuit of a (cluster that is a) spanning tree (in the white connection graph)..

A trivial example.. In Figure 3 we check that the polygon corresponding to the vector v is a single point. We denote by Π the quotient map. , α n+3 ) be an ordered list of real

Abusing terminology somewhat, we summarize the conclusion by saying that the univalent pullback relation on curves and pullback relation on arcs have no elements with arbitrarily