We establish, as an application of the results from Eliashberg and Murphy (Lagrangian caps, 2013), 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 ℝst6 with exactly one transverse double point. Our construction also yields a Lagrangian embedding S1 × S2 → ℝst6 with vanishing Maslov class.
All Science Journal Classification (ASJC) codes
- Geometry and Topology