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arXiv · 1610.03943

Contact Surgeries on the Legendrian Figure-Eight Knot

James Conway
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Abstract

We show that all positive contact surgeries on every Legendrian figure-eight knot in $(S^3, ξ_{\rm{std}})$ result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.

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James Conway. 2016-10-13. Contact Surgeries on the Legendrian Figure-Eight Knot. https://arxiv.org/abs/1610.03943

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