3 papers
math.GT2026
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…
math.DS2021
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.…
math.GT2020
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…