Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

On Thurston's Euler class one conjecture

Mehdi Yazdi, Graduate Student, Mathematics, Princeton University,

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. We construct counterexamples to this conjecture and suggest an alternative conjecture.

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