Symplectic fillings of links of quotient surface singularities (Q2911015)
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scientific article; zbMATH DE number 6081392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic fillings of links of quotient surface singularities |
scientific article; zbMATH DE number 6081392 |
Statements
12 September 2012
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symplectic deformation
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symplectic filling
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simple singularities
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contact manifold
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holomorphic curve
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math.SG
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math.DG
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Symplectic fillings of links of quotient surface singularities (English)
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Symplectic deformation types of minimal symplectic fillings of links of quotient surface singularities are studied. The main result is the following:NEWLINENEWLINE Theorem. A symplectic filling of the link of a quotient surface singularity is symplectic-deformation equivalent to the complement of a certain divisor in an iterated blowup of \(\mathbb{C}P^2\) or \(\mathbb{C}P^1\times \mathbb{C}P^1\).NEWLINENEWLINE A detailed description of the symplectic fillings is also given. In particular, the finiteness of symplectic deformation types of minimal symplectic fillings for each quotient surface singularity is proved.
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