vix.ing · top · new · best · stats · spec

Weinstein neighbourhood theorems for stratified subspaces

2025/07/07 by Yael Karshon, Sara B. Tukachinsky, Karshon, Yael +3
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #math.DG #math.SG

paper · pdf · doi:10.48550/arxiv.2507.04897

openalex publication_date 2025/07/07 · openalex created_date 2025/10/20 · openalex updated_date 2026/07/30

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.

Related