\(Z_2^k\)-actions fixing \(\mathbb R P^2 \cup \mathbb RP^{\text{even}}\) (Q873933)
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scientific article; zbMATH DE number 5136054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(Z_2^k\)-actions fixing \(\mathbb R P^2 \cup \mathbb RP^{\text{even}}\) |
scientific article; zbMATH DE number 5136054 |
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\(Z_2^k\)-actions fixing \(\mathbb R P^2 \cup \mathbb RP^{\text{even}}\) (English)
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21 March 2007
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This paper determines, up to equivariant cobordism, all manifolds with \((\mathbb Z_{2})^{k}\)-action having fixed set \(\mathbb RP^{2}\cup \mathbb RP^{n}\) with \(n\) even, \(n\geq 4.\) \ The general result is really a consequence of the result for involutions and recent results about actions fixing \(\mathbb RP^{\text{even}},\) so most of the paper is about involutions.
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