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arXiv · 2304.11804

A note on contact manifolds with infinite fillings

Zhengyi Zhou
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Abstract

We use spinal open books to construct contact manifolds with infinitely many different Weinstein fillings in any odd dimension $> 1$, which were previously unknown for dimensions equal to $4n+1$. The argument does not involve understanding factorizations in the symplectic mapping class group.

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Zhengyi Zhou. 2023-04-24. A note on contact manifolds with infinite fillings. https://arxiv.org/abs/2304.11804

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