Fibred knots and disks with clasps.
| dc.contributor.author | Gordon, Cameron McA | |
| dc.contributor.author | Montesinos Amilibia, José María | |
| dc.date.accessioned | 2023-06-21T02:06:31Z | |
| dc.date.available | 2023-06-21T02:06:31Z | |
| dc.date.issued | 1986 | |
| dc.description.abstract | It is known that every closed, orientable 3-manifold contains a fi-bered knot—a simple closed curve whose complement is a surface bundle over S1. For K such a fibered knot in a rational homology 3-sphere M it is shown that for any compact submanifold X of M containing K as a null-homologous subset, each component of ∂X is compressible in M−K. If K is a doubled knot (bounds a disk with one clasp) then it follows that K is a double of the trivial knot. More generally, it follows that the genus of X (minimum number of one-handles) is less than the genus of M. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | NSF | |
| dc.description.sponsorship | Comité Conjunto Hispano-Norteamericano | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22089 | |
| dc.identifier.doi | 10.1007/BF01458613 | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.officialurl | http://link.springer.com/article/10.1007%2FBF01458613 | |
| dc.identifier.relatedurl | http://www.digizeitschriften.de/dms/gcs-wrapper | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/64868 | |
| dc.issue.number | 3 | |
| dc.journal.title | Mathematische Annalen | |
| dc.language.iso | eng | |
| dc.page.final | 408 | |
| dc.page.initial | 405 | |
| dc.publisher | Springer | |
| dc.relation.projectID | DMS 8403670 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | null-homotopic knot in a closed | |
| dc.subject.keyword | orientable 3-manifold | |
| dc.subject.keyword | disk-with-clasps | |
| dc.subject.keyword | fibred knot | |
| dc.subject.keyword | null-homotopic in a handlebody of genus 2 | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Fibred knots and disks with clasps. | |
| dc.type | journal article | |
| dc.volume.number | 275 | |
| dcterms.references | Bing, R.H.: Necessary and sufficient conditions that a 3-manifold beS 3. Ann. Math.68, 17–37 (1958) Casson, A.J., Gordon, C.McA.: Reducing Heegaard splittings. To appear in Topology and its Applications Fox, R.H.: On the imbedding of polyhedra in 3-space. Ann. Math.49, 462–470 (1948) Gonzalez-Acuña, F.: 3-dimensional open books. Lectures, Univ. of Iowa Topology Seminar 1974/75 Haken, W.: Some results on surfaces in 3-manifolds. In: Studies in modern topology. Math. Assoc. Amer. 39–98. Englewood Cliffs: Prentice Hall 1968 McMillan, D.R., Jr.: On homologically trivial 3-manifolds. Trans. Am. Math. Soc.98, 350–367 (1961) Morgan, J.W., Bass, H. (eds.): The Smith conjecture. New York: Academic Press 1984 Myers, R.: Open book decompositions of 3-manifolds. Proc. Am. Math. Soc.72, 397–402 (1978). [Notices Amer. Math. Soc.22, A-651 (1975)] Myers, R.: Simple knots in compact, orientable 3-manifolds. Trans. Am. Math. Soc.273, 75–91 (1982) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 7097502e-a5b0-4b03-b547-bc67cda16ae2 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7097502e-a5b0-4b03-b547-bc67cda16ae2 |
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