The support genus of certain Legendrian knots
classification
🧮 math.GT
keywords
knotslegendriangenussupportanswersarbitrarilycertaincomputed
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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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