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arXiv · 2507.11466

On Gromov Width under $C^0$ Deformations

Spencer Cattalani
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Abstract

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.

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Spencer Cattalani. 2025-07-15. On Gromov Width under $C^0$ Deformations. https://arxiv.org/abs/2507.11466

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