RT Journal Article
T1 Surgery on double knots and symmetries
A1 Montesinos Amilibia, José María
A1 Boileau, Michel
A1 González Acuña, Francisco Javier
AB 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.
PB Springer
SN 0025-5831
YR 1987
FD 1987-01
LK https://hdl.handle.net/20.500.14352/57722
UL https://hdl.handle.net/20.500.14352/57722
LA eng
NO Swiss National Fund for Scientific Research
NO CAICYT
DS Docta Complutense
RD 19 abr 2025