On $ \pi $ -hyperbolic knots and branched coverings

L. Paoluzzi
1999 Commentarii Mathematici Helvetici  
We prove that, for any given n > 2, a π-hyperbolic knot is determined by its 2-fold and n-fold cyclic branched coverings. We also prove that a 2π/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. (1991). Primary 57M25; Secondary 57M12. Mathematics Subject Classification
doi:10.1007/s000140050100 fatcat:s6tknmhhxzeqlmgux7y2wdhrra