Weinstein neighbourhood theorems for stratified subspaces
Symplectic Geometry
2026-01-21 v2 Differential Geometry
Abstract
By analogy with Weinstein's neighbourhood theorem, we prove a uniqueness result for symplectic neighbourhoods of a large family of stratified subspaces. This result generalizes existing constructions, e.g., in the search for exotic Lagrangians. Along the way, we prove a strong version of Moser's trick and a (non-symplectic) tubular neighbourhood theorem for these stratified subspaces.
Cite
@article{arxiv.2507.04897,
title = {Weinstein neighbourhood theorems for stratified subspaces},
author = {Yael Karshon and Sara B. Tukachinsky and Yoav Zimhony},
journal= {arXiv preprint arXiv:2507.04897},
year = {2026}
}
Comments
50 pages, 2 figures