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arXiv · 2506.03912

Concave symplectic toric fillings

Aleksandra Marinković
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Abstract

As shown by Etnyre and Honda in [EH], every contact 3-manifold admits infinitely many concave symplectic fillings that are mutually not symplectomorphic and not related by blow ups. In this note we refine this result in the toric setting by showing that every contact toric 3-manifold admits infinitely many concave symplectic toric fillings that are mutually not equivariantly symplectomorphic and not related by blow ups. The concave symplectic toric structure is constructed on certain linear and cyclic plumbings over spheres.

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Aleksandra Marinković. 2025-06-04. Concave symplectic toric fillings. https://arxiv.org/abs/2506.03912

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