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arXiv · 2404.01105

On aspherical symplectic fillings with finite capacities of the prequantization bundles

Guanheng Chen
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Abstract

A prequantization bundle is a negative circle bundle over a symplectic surface together with a contact form induced by a S1-invariant connection. Given a symplectically aspherical symplectic filling of a prequantization bundle satisfying certain topological conditions, suppose that a version of symplectic capacity of the symplectic filling is finite. Then, we show that the symplectic filling is diffeomorphic to the associated disk bundle.

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Guanheng Chen. 2024-04-01. On aspherical symplectic fillings with finite capacities of the prequantization bundles. https://arxiv.org/abs/2404.01105

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