Strongly fillable contact structures without Liouville fillings

Hyunki Min

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arXiv · 2205.09912

Strongly fillable contact structures without Liouville fillings

Hyunki Min

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Abstract

We introduce a new method to obstruct Liouville and weak fillability. Using this, we show that various rational homology 3-spheres admit strongly fillable contact structures without Liouville fillings, which extends the result of Ghiggini on a family of Brieskorn spheres. We also make partial progress on a conjecture of Ghiggini and Van-Horn-Morris.

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Hyunki Min. 2022-05-20. Strongly fillable contact structures without Liouville fillings. https://arxiv.org/abs/2205.09912

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