2020/06/01 by Lara Simone Suárez, Suárez, Lara Simone
Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2006.01292
openalex publication_date 2020/06/01 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Let Λ, Λ' be a pair of closed Legendrian submanifolds in a closed contact manifold (Y, ξ= Ker(α)) related by a Legendrian cobordism W⊂ (ℂ× Y, ξ=Ker(-y dx +α)). In this note, we show that in the hypertight setting, if Λ intersects a closed, weakly exact or monotone pre-Lagrangian P⊂ Y for reasons of Floer homology, then so does Λ'.