Orientation reversing involutions on Brieskorn spheres (Q1089638)
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scientific article; zbMATH DE number 4005169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orientation reversing involutions on Brieskorn spheres |
scientific article; zbMATH DE number 4005169 |
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Orientation reversing involutions on Brieskorn spheres (English)
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1986
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The purpose of this paper is to classify the orientation reversing involutions on Brieskorn spheres of dimension \(4k+1\) which are defined by the conjugation of complex numbers. In this case, the fixed point set is of dimension 2k and to classify these examples, we meet with the failure of the ''gap hypothesis''. However, with the aid of \(Z_ 2\)-surgery theory due to \textit{K. H. Dovermann} [Michigan Math. J. 28, 267-287 (1981; Zbl 0491.57014)], this situation can be handled.
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orientation reversing involutions on Brieskorn spheres
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conjugation of complex numbers
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fixed point set
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gap hypothesis
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\(Z_ 2\)-surgery theory
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0.9063575
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0.9028705
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0.88806784
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0.87876177
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0.8743082
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