TL;DR
This paper provides quantitative estimates on the proximity of Lagrangians under Floer theoretic conditions, linking small Lagrangian angles to geometric closeness and applications in uniqueness and convergence to special Lagrangians.
Contribution
It introduces new quantitative bounds relating Lagrangian angles to geometric closeness, with applications to uniqueness and varifold convergence in symplectic geometry.
Findings
Quantitative estimates on Lagrangian closeness depending on angles
A strong-weak uniqueness theorem for special Lagrangians
Characterization of varifold convergence via Lagrangian angles
Abstract
Under Floer theoretic conditions, we obtain quantitative estimates on the closeness (Hausdorff distance, flat norm, F-metric) between two Lagrangians, depending on the smallness of Lagrangian angles. Some applications include a strong-weak uniqueness theorem for special Lagrangians, and a characterization of varifold convergence to special Lagrangians in terms of Lagrangian angles.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations