Geodesic
On symplectic fillings of small Seifert 3–manifolds
Choi, Hakho1 ; Park, Jongil2
1 School of Mathematics, Korea Institute for Advanced Study, Seoul, South Korea
2 Department of Mathematical Sciences, Seoul National University, Seoul, South Korea
Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3497-3530

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We investigate the minimal symplectic fillings of small Seifert 3–manifolds with a canonical contact structure. As a result, we list all minimal symplectic fillings using curve configurations for 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.

DOI : 10.2140/agt.2023.23.3497
Keywords: rational blowdown, small Seifert 3–manifold, symplectic filling

Choi, Hakho 1 ; Park, Jongil 2

1 School of Mathematics, Korea Institute for Advanced Study, Seoul, South Korea
2 Department of Mathematical Sciences, Seoul National University, Seoul, South Korea 
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Choi, Hakho; Park, Jongil. On symplectic fillings of small Seifert 3–manifolds. Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3497-3530. doi: 10.2140/agt.2023.23.3497

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