Contact Surgeries on the Legendrian Figure-Eight Knot
classification
🧮 math.GT
math.SG
keywords
contactfigure-eightknotlegendriansurgeriesconvexeveryfloer
read the original abstract
We show that all positive contact surgeries on every Legendrian figure-eight knot in $(S^3, \xi_{\rm{std}})$ result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.
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