Lagrangian Fillings of Legendrian 4-Plat Knots

2017/09/09 by Lipman, Erin R., Sabloff, Joshua M. · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1709.02890

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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