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arXiv:1504.06682 [math.GT]AbstractReferencesReviewsResources

The Poincare homology sphere, lens space surgeries, and some knots with tunnel number two

Kenneth L. Baker

Published 2015-04-25Version 1

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.

Comments: 11 pages, 6 figures. Comments welcome
Categories: math.GT
Subjects: 57M27
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