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Minsky, Yair N., Moriah, Yoav and Schleimer, Saul (2007) High distance knots. Algebraic & Geometric Topology, Volume 7 . pp. 1471-1483. doi:10.2140/agt.2007.7.1471 ISSN 1472-2739.
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Official URL: http://dx.doi.org/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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Algebraic & Geometric Topology | ||||
Publisher: | Geometry & Topology Publications | ||||
ISSN: | 1472-2739 | ||||
Official Date: | 2007 | ||||
Dates: |
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Volume: | Volume 7 | ||||
Number of Pages: | 13 | ||||
Page Range: | pp. 1471-1483 | ||||
DOI: | 10.2140/agt.2007.7.1471 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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