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On Thurston's Euler class one conjecture

Abstract:
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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Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-2831-6651
Publisher:
University of Oxford
Publication date:
2020-12-17
Language:
English
Keywords:
Pubs id:
1123282
Local pid:
pubs:1123282
Deposit date:
2020-12-16

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