The support genus of certain Legendrian knots

Details The support genus of certain Legendrian knots The support genus of certain Legendrian knots

2011-01-27

arxiv.org/abs/1101.5213v1

Mathematics

Geometric Topology

8 pages, 6 figures

Scientific paper

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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