Journal article
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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 1.8MB, Terms of use)
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- Publisher copy:
- 10.4310/ACTA.2020.v225.n2.a3
Authors
- Publisher:
- Institut Mittag-Leffler
- Journal:
- Acta Mathematica More from this journal
- Volume:
- 225
- Issue:
- 2
- Pages:
- 313-368
- Publication date:
- 2020-12-15
- Acceptance date:
- 2020-08-01
- DOI:
- EISSN:
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1871-2509
- ISSN:
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0001-5962
- Language:
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English
- Keywords:
- Pubs id:
-
1123282
- Local pid:
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pubs:1123282
- Source identifiers:
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1123282
- Deposit date:
-
2020-08-03
Terms of use
- Copyright holder:
- Institut Mittag-Leffler
- Copyright date:
- 2020
- Rights statement:
- © 2020 by Institut Mittag-Leffler. All rights reserved.
- Notes:
- The final published version of this article is freely available from International Press at https://dx.doi.org/10.4310/ACTA.2020.v225.n2.a3
- Licence:
- CC Attribution (CC BY)
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