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On Thurston's Euler class one conjecture
Yazdi, Mehdi...
On Thurston's Euler class one conjecture by Yazdi, Mehdi ( Author )
Australian National University
29-08-2023
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 class with norm equal to one is the Euler class of a taut foliation. This is the first from a series of two papers that together give a negative answer to Thurston's conjecture. Here counterexamples have been constructed conditional on the fully marked surface theorem. In the second paper, joint with David Gabai, a proof of the fully marked surface theorem is given.
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Article
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English
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MYR 0.01
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http://arxiv.org/abs/1603.03822
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