On aspherical symplectic fillings with finite capacities of the prequantization bundles
Symplectic Geometry
2024-04-02 v1 Geometric Topology
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.
Cite
@article{arxiv.2404.01105,
title = {On aspherical symplectic fillings with finite capacities of the prequantization bundles},
author = {Guanheng Chen},
journal= {arXiv preprint arXiv:2404.01105},
year = {2024}
}
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