On symplectic fillings of small Seifert $3$-manifolds

Hakho Choi; Jongil Park

doi:10.2140/agt.2023.23.3497

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arXiv · 1904.04955

On symplectic fillings of small Seifert $3$-manifolds

Hakho Choi·Jongil Park

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Abstract

In this paper, we investigate the minimal symplectic fillings of small Seifert 3-manifolds with a canonical contact structure. As a result, we classify all minimal symplectic fillings of small Seifert 3-manifolds satisfying certain conditions. Furthermore, we also demonstrate that every such a minimal symplectic filling is obtained by a sequence of rational blowdowns from the minimal resolution of the corresponding weighted homogeneous complex surface singularity.

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Hakho Choi, Jongil Park. 2019-04-10. On symplectic fillings of small Seifert $3$-manifolds. https://doi.org/10.2140/agt.2023.23.3497

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