Altman, Irida and Friedl, Stefan and Juhasz, Andras (2016) SUTURED FLOER HOMOLOGY, FIBRATIONS, AND TAUT DEPTH ONE FOLIATIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 368 (9). pp. 6363-6389. ISSN 0002-9947, 1088-6850
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For an oriented irreducible 3-manifold M with non-empty toroidal boundary, we describe how sutured Floer homology (SFH) can be used to determine all fibred classes in H-1(M). Furthermore, we show that the SFH of a balanced sutured manifold (M, gamma) detects which classes in H-1(M) admit a taut depth one foliation such that the only compact leaves are the components of R(gamma). The latter had been proved earlier by the first author under the extra assumption that H-2(M) = 0. The main technical result is that we can obtain an extremal Spin(c)-structure s (i.e., one that is in a 'corner' of the support of SFH) via a nice and taut sutured manifold decomposition even when H-2(M) not equal 0, assuming the corresponding group SFH(M, gamma, s) has non-trivial Euler characteristic.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HOLOMORPHIC DISKS; 3-MANIFOLDS; INVARIANTS; POLYTOPE; TOPOLOGY; KNOTS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Apr 2019 08:46 |
| Last Modified: | 05 Apr 2019 08:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3451 |
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