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$Z_2^k$–actions fixing
$\mathbb{R}P^2{\cup}\mathbb{R}P^{\mathrm{even}}$
Rogério de Oliveira, Pedro L Q Pergher and Adriana Ramos |
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Algebraic & Geometric Topology 7 (2007) 29–45
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Abstract |
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This paper determines, up to equivariant cobordism, all manifolds with –action whose fixed point set is , where is even. |
Keywords
involution, group action, fixed data, property H,
equivariant cobordism class, characteristic number,
projective space bundle, Steenrod operation, Conner's
formula, s–class
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Mathematical Subject Classification 2000
Primary: 57R85
Secondary: 57R75
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References |
Publication
Received: 30 October 2006
Accepted: 12 December 2006
Published: 23 February 2007
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Authors |
| Rogério de Oliveira | |
| Departamento de Ciências
Exatas Universidade Federal de Mato Grosso do Sul Caixa Postal 210 Três Lagoas, MS 79603-011 Brazil |
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| Pedro L Q Pergher | |
| Departamento de Matemática Universidade Federal de São Carlos Caixa Postal 676 São Carlos, SP 13565-905 Brazil |
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| Adriana Ramos | |
| Departamento de Matemática Universidade Federal de São Carlos Caixa Postal 676 São Carlos, SP 13565-905 Brazil |
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