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arXiv · 1101.5213

The support genus of certain Legendrian knots

Youlin Li·Jiajun Wang
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Abstract

In this paper, the support genus of all Legendrian right handed trefoil knots and some other Legendrian knots is computed. We give examples of Legendrian knots in the three-sphere with the standard contact structure which have positive support genus with arbitrarily negative Thurston-Benniquin invariant. This answers a question in Onaran.

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Youlin Li, Jiajun Wang. 2011-01-27. The support genus of certain Legendrian knots. https://arxiv.org/abs/1101.5213

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