High distance knots
arXiv:math/0607265 · doi:10.2140/agt.2007.7.1471
Abstract
We construct knots in S^3 with Heegaard splittings of arbitrarily high distance, in any genus. As an application, for any positive integers t and b we find a tunnel number t knot in the three-sphere which has no (t,b)-decomposition.
13 pages, 3 figures. Added reference
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Cited by in corpus (25)
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