On geography of symplectic fillings of contact branched covers

Youlin Li; Yuhe Zhang

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arXiv · 2205.00410

On geography of symplectic fillings of contact branched covers

Youlin Li·Yuhe Zhang

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Abstract

In this paper, we determine the Euler characteristics and signatures of the exact symplectic fillings of the contact double, 3-fold or 4-fold cyclic covers of the standard contact 3-sphere branched over certain transverse quasi-positive links. These links include all quasi-positive knots with crossing numbers smaller than 11 and all quasi-positive links with crossing numbers smaller than 12 and nonzero nullity.

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Youlin Li, Yuhe Zhang. 2022-05-01. On geography of symplectic fillings of contact branched covers. https://arxiv.org/abs/2205.00410

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