2019/12/07 by Daniel Álvarez‐Gavela, Alvarez-Gavela, Daniel, Yakov Eliashberg +3
Computer Science · Mathematics · #53D99 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1912.03439
openalex publication_date 2019/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove an "h-principle without pre-conditions" for the elimination of tangencies of a Lagrangian submanifold with respect to a Lagrangian distribution. The main result states that such tangencies can always be completely removed at the cost of allowing the Lagrangian to develop certain non-smooth points, called Lagrangian ridges, modeled on the corner \p=|q|\ ⊂ ℝ2 together with its products and stabilizations. This result plays an essential role in the arborealization program.