On Thurston’s Euler class one conjecture

On Thurston’s Euler class one conjecture

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Mehdi Yazdi, Princeton University
Fine Hall 314

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 Euler class with norm equal to one is Euler class of a taut foliation. I construct counterexamples to this conjecture and suggest an alternative conjecture.