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arXiv · 2512.21393

A note on the wild symplectic ellipsoids

Filip Broćić·Stefan Matijević
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Abstract

We show that the symplectic $2$-product of $n$ two-dimensional star-shaped domains has an interior symplectomorphic to that of a symplectic ellipsoid. Adapting this construction, given $0<\alpha \leq 1$, we obtain that every open subset of $\mathbb{R}^{2n}$ with a smooth boundary is symplectomorphic to an open set whose boundary contains a set of Hausdorff dimension $2n-1+\alpha$.

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Filip Broćić, Stefan Matijević. 2025-12-24. A note on the wild symplectic ellipsoids. https://arxiv.org/abs/2512.21393

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