2026-06-27T12:36:16Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/577222023-08-25T10:18:10Zcom_20.500.14352_14col_20.500.14352_15

Surgery on double knots and symmetries Montesinos Amilibia, José María Boileau, Michel González Acuña, Francisco Javier 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. 2023-06-20T17:04:14Z 2023-06-20T17:04:14Z 1987-01 journal article 0025-5831 10.1007/BF01450747 https://hdl.handle.net/20.500.14352/57722 http://www.springerlink.com/content/g541h3376w7517jx/ http://www.springerlink.com/ eng restricted access Springer