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Knots yielding homeomorphic lens spaces by Dehn surgery
by
Masakazu Teragaito
Hiroshima University, Japan
Coauthors: Toshio Saito (Nara Women's University)
We show that there exist infinitely many pairs of distinct knots in the 3-sphere such that each pair can yield homeomorphic lens spaces by the same Dehn surgery. Moreover, each knot of the pair can be chosen to be a torus knot, a satellite knot or a hyperbolic knot, except that both cannot be satellite knots simultaneously. This exception is shown to be unavoidable by the classical theory of binary quadratic forms.
Paper reference: arXiv:0808.2852
Date received: November 5, 2008
Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caxq-14.