8 citations · 12 across the 7 of their papers we have counts for
10 papers
Thurston norm and the Euler class
Mehdi Yazdi
In his influential work, Thurston introduced a norm on the second homology group of compact orientable 3-manifolds M, which by duality also determines a dual norm on the second coh…
On -stability of compact leaves with amenable fundamental group
Sam Nariman, Mehdi Yazdi
In his work on the generalization of the Reeb stability theorem, Thurston conjectured that if the fundamental group of a compact leaf in a codimension-one transversely orientab…
Thurston norm and Euler classes of tight contact structures
Steven Sivek, Mehdi Yazdi
Bill Thurston proved that taut foliations of hyperbolic 3-manifolds have Euler classes of norm at most one, and conjectured that any integral second cohomology class of norm equal…
Non-negative integral matrices with given spectral radius and controlled dimension
Mehdi Yazdi
A celebrated theorem of Lind states that a positive real number is equal to the spectral radius of some integral primitive matrix, if and only if, it is a Perron algebraic integer.…
The fully marked surface theorem
David Gabai, Mehdi Yazdi
In his seminal 1976 paper Bill Thurston observed that a closed leaf S of a foliation has Euler characteristic equal, up to sign, to the Euler class of the foliation evaluated on [S…
The computational complexity of knot genus in a fixed 3-manifold
Marc Lackenby, Mehdi Yazdi
We show that the problem of deciding whether a knot in a fixed closed orientable 3-dimensional manifold bounds a surface of genus at most is in co-NP. This answers a question o…
Pseudo-Anosov maps with small stretch factors on punctured surfaces
Mehdi Yazdi
Consider the problem of estimating the minimum entropy of pseudo-Anosov maps on a surface of genus with punctures. We determine the behaviour of this minimum number for a c…
Lower bound for the Perron-Frobenius degrees of Perron numbers
Mehdi Yazdi
Using an idea of Doug Lind, we give a lower bound for the Perron-Frobenius degree of a Perron number that is not totally-real. As an application, we prove that there are cubic Perr…
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…
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…