Anti-holomorphic involutions and almost complex structures on four-manifolds (Q1585575)
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scientific article; zbMATH DE number 1531236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Anti-holomorphic involutions and almost complex structures on four-manifolds |
scientific article; zbMATH DE number 1531236 |
Statements
Anti-holomorphic involutions and almost complex structures on four-manifolds (English)
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16 November 2000
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Let \(X\) be an almost complex closed 4-manifold and \(\sigma\) an anti-holomorphic involution on \(X\). The main results are the following: If \(b_2 ^+(X)-b_1(X) \not\equiv 3\bmod 4\), then \(X/\sigma\) does not admit any almost complex structure. Suppose that \(H_1(X)\) has no 2-torsion and that the set of fixed points of \(\sigma\) is an orientable surface or empty. If \(c_1(X)=0\) then \(X/\sigma\) admits an almost complex structure.
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4-manifolds
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almost complex structure
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0.8962997794151306
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0.8776785731315613
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0.7803332209587097
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