On 3-manifolds having surface bundles as branched coverings
| dc.contributor.author | Montesinos Amilibia, José María | |
| dc.date.accessioned | 2023-06-20T17:04:07Z | |
| dc.date.available | 2023-06-20T17:04:07Z | |
| dc.date.issued | 1987-11 | |
| dc.description.abstract | We give a different proof of the result of M. Sakuma [Math. Sem. Notes Kobe Univ. 9 (1981), no. 1, 159–180] that every closed, oriented 3-manifold M has a 2-fold branched covering space N which is a surface bundle over S1. We also give a new proof of the result of Brooks that N can be made hyperbolic. We give examples of irreducible 3-manifolds which can be represented as 2m-fold cyclic branched coverings of S3 for a number of different m's as big as we like. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Comité Conjunto Hispano-Norteamericano | |
| dc.description.sponsorship | NSF | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17155 | |
| dc.identifier.doi | 10.2307/2046408 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.officialurl | http://www.ams.org/journals/proc/1987-101-03/S0002-9939-1987-0908668-1/S0002-9939-1987-0908668-1.pdf | |
| dc.identifier.relatedurl | http://www.ams.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57719 | |
| dc.issue.number | 3 | |
| dc.journal.title | Proceedings of the American Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 558 | |
| dc.page.initial | 555 | |
| dc.publisher | American Mathematical Society | |
| dc.relation.projectID | 8120790. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.162 | |
| dc.subject.keyword | open-book | |
| dc.subject.keyword | hyperbolic manifold | |
| dc.subject.keyword | surface bundle over S 1 | |
| dc.subject.keyword | closed orientable 3-manifold | |
| dc.subject.keyword | 2m-fold branched cyclic covering | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | On 3-manifolds having surface bundles as branched coverings | |
| dc.type | journal article | |
| dc.volume.number | 101 | |
| dcterms.references | R. Brooks, On branched coverings of 3-manifolds which fiber over the circle, J. Reine Angew. Math. 362 (1985), 87-101. A. Casson and C. Gordon, Talk by Casson, Workshop of Low Dimensional Topology, Berkeley, 1985. A. Fathi, Dehn twists and pseudo-Anosov diffeomorphisms (preprint). F. González-Acuña, 3-dimensional open books, Lectures, Univ. of Iowa, Topological Seminar, 1974/75. U. Hirsch and W. Neumann, On cyclic branched coverings of spheres, Math. Ann. 215 (1975), 289-291. J. Montesinos, Surgery on links and double branched covers of S3, Knots, Groups and 3-Manifolds (L. P. Neuwirth, ed.), Ann. of Math. Studies, no. 84, Princeton Univ. Press, Princeton, N.J., 1975, pp. 227-259. R. Myers, Open book decompositions of 3-manifolds, Proc. Amer. Math. Soc. 72 (1978), 397-402. M. Sakuma, Surface bundles over S1 which are 2-fold branched cyclic coverings of S3, Math. Sem. Notes 9 (1981), 159-180. T. Soma, Hyperbolic, fibred links and fibre-concordances, Math. Proc. Cambridge Philos. Soc. 96 (1984), 283-294. J. R. Stallings, Constructions of fibred knots and links, Proc. Sympos. Pure Math., vol. 32, Amer. Math. Soc., Providence, R.I., 1978, pp. 55-60. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 7097502e-a5b0-4b03-b547-bc67cda16ae2 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7097502e-a5b0-4b03-b547-bc67cda16ae2 |
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