Surgery on double knots and symmetries
| dc.contributor.author | Montesinos Amilibia, José María | |
| dc.contributor.author | Boileau, Michel | |
| dc.contributor.author | González Acuña, Francisco Javier | |
| dc.date.accessioned | 2023-06-20T17:04:14Z | |
| dc.date.available | 2023-06-20T17:04:14Z | |
| dc.date.issued | 1987-01 | |
| dc.description.abstract | W. Whitten conjectured [Pacific J. Math. 97 (1981), no. 1, 209–216] that no 3-manifold obtained by a nontrivial surgery on a double of a noninvertible knot is a 2-fold branched covering of S3. The authors give counterexamples to this conjecture and determine the exact range of validity of the conjecture. More generally, they consider closed, orientable 3-manifolds obtained by nontrivial Dehn surgery on a double of a non-strongly invertible knot and study the symmetries of such manifolds, i.e. the homeomorphisms of finite order on these manifolds. They show that, except for a finite number of surgeries, these manifolds admit no (nontrivial) symmetry. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Swiss National Fund for Scientific Research | |
| dc.description.sponsorship | CAICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17172 | |
| dc.identifier.doi | 10.1007/BF01450747 | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/g541h3376w7517jx/ | |
| dc.identifier.relatedurl | http://www.springerlink.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57722 | |
| dc.issue.number | 2 | |
| dc.journal.title | Mathematische Annalen | |
| dc.language.iso | eng | |
| dc.page.final | 340 | |
| dc.page.initial | 323 | |
| dc.publisher | Springer | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | symmetries of 3-manifolds | |
| dc.subject.keyword | Dehn surgeries on a double of a noninvertible knot | |
| dc.subject.keyword | 2-fold branched covers of S 3 | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Surgery on double knots and symmetries | |
| dc.type | journal article | |
| dc.volume.number | 276 | |
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| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication.latestForDiscovery | 7097502e-a5b0-4b03-b547-bc67cda16ae2 |
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