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Contact Surgeries on the Legendrian Figure-Eight Knot

2016/10/13 by Conway, James
#FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1610.03943

Abstract

We show that all positive contact surgeries on every Legendrian figure-eight knot in (S3, ξ_\rmstd) result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.

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