Saved in:
Bibliographic Details
Main Author: Cattalani, Spencer
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.11466
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • We construct a uniformly bounded symplectic structure on $S^2 \times \mathbb{R}^4$ admitting embeddings by arbitrarily large balls. This provides a counterexample to a recent conjecture of Savelyev. We then prove the conjecture holds for a wide class of examples, generalizing a result by Savelyev. Along the way, we clarify some aspects of pseudoholomorphic curve theory in non-compact manifolds.