2013/03/04 by Tobias Ekholm, Yakov Eliashberg, Ekholm, Tobias +5
Mathematics · #53D05 #53D10 #53D12 #57N35 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:53D05 #msc:53D10 #msc:53D12 #msc:57N35
paper · pdf · doi:10.48550/arxiv.1303.0588
In the new version corrected some misprints, added clarifications and filled a small gap in the proof of Lemma 3.4
openalex publication_date 2013/03/04 · arxiv created 2013/07/02 · arxiv updated 2013/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish an h-principle for exact Lagrangian immersions with transverse self-intersections and the minimal, or near-minimal number of double points. One corollary of our result is that any orientable closed 3-manifold admits an exact Lagrangian immersion into standard symplectic 6-space \R6_\st with exactly one transverse double point. Our construction also yields a Lagrangian embedding S1× S2→\R6_\st with vanishing Maslov class.