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Lagrangian Fillings of Legendrian $4$-Plat Knots

Published 9 Sep 2017 in math.SG and math.GT | (1709.02890v1)

Abstract: We characterize which Legendrian $4$-plat knots in the standard contact $3$-space have exact orientable Lagrangian fillings. As a corollary, we show that the underlying smooth knot types of fillable Legendrian $4$-plats are positive.

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