2015/12/26 by Watchareepan Atiponrat, Atiponrat, Watchareepan · 1 citation
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1512.08056
openalex publication_date 2015/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study some properties of decomposable exact Lagrangian cobordisms between Legendrian links in ℝ3 with the standard contact structure. In particular, for any decomposable exact Lagrangian filling L of a Legendrian link K, we may obtain a normal ruling of K associated with L. We prove that the associated normal rulings must have even number of clasps. As a result, we give a particular Legendrian (4,-(2n+5))-torus knot, for each n ≥ 0, which does not have a decomposable exact Lagrangian filling because it has only 1 normal ruling and this normal ruling has odd number of clasps.