On hyperbolic type involutions
Paoluzzi, Luisa
HAL, hal-00638122 / Harvested from HAL
We give a bound on the number of hyperbolic knots which are double covered by a fixed (non hyperbolic) manifold in terms of the number of tori and of the invariants of the Seifert fibred pieces of its Jaco-Shalen-Johannson decomposition. We also investigate the problem of finding the non hyperbolic knots with the same double cover of a hyperbolic one and give several examples to illustrate the results.
Publié le : 2001-07-05
Classification:  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]
@article{hal-00638122,
     author = {Paoluzzi, Luisa},
     title = {On hyperbolic type involutions},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00638122}
}
Paoluzzi, Luisa. On hyperbolic type involutions. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00638122/