On pi-hyperbolic knots and branched coverings
Paoluzzi, Luisa
HAL, hal-00638124 / Harvested from HAL
We prove that, for any given n > 2, a pi-hyperbolic knot is determined by its 2-fold and n-fold cyclic branched coverings. We also prove that a 2pi/m-hyperbolic knot which is not determined by its m-fold and n-fold cyclic branched coverings, 2 < m < n, must have genus (n − 1)(m − 1)=2.
Publié le : 1999-07-05
Classification:  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]
@article{hal-00638124,
     author = {Paoluzzi, Luisa},
     title = {On pi-hyperbolic knots and branched coverings},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00638124}
}
Paoluzzi, Luisa. On pi-hyperbolic knots and branched coverings. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00638124/