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The Poincare homology sphere, lens space...
Baker, Kenneth L....
The Poincare homology sphere, lens space surgeries, and some knots with tunnel number two by Baker, Kenneth L. ( Author )
N.A
25-04-2015
We exhibit an infinite family of knots in the Poincare homology sphere with tunnel number 2 that have a lens space surgery. Notably, these knots are not doubly primitive and provide counterexamples to a few conjectures. In the appendix, it is shown that hyperbolic knots in the Poincare homology sphere with a lens space surgery has either no symmetries or just a single strong involution.
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https://arxiv.org/abs/1504.06682
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