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math.GT2016
Lower Bound For Dilatations
Mehdi Yazdi
We prove a new lower bound for the dilatation of an arbitrary pseudo-Anosov map on a surface of genus g with n punctures. Our bound improves the former super-exponential dependence…
math.GT2016
On Thurston's Euler class one conjecture
Mehdi Yazdi
In 1976, Thurston proved that taut foliations on closed hyperbolic 3-manifolds have Euler class of norm at most one, and conjectured that conversely, any integral second cohomology…