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• # Artykuł - szczegóły

## Fundamenta Mathematicae

2002 | 172 | 1 | 83-97

## $Z₂^k$-actions fixing point ∪ Vⁿ

EN

### Abstrakty

EN
We describe the equivariant cobordism classification of smooth actions $(M^{m},Φ)$ of the group $G = Z₂^k$ on closed smooth m-dimensional manifolds $M^{m}$ for which the fixed point set of the action is the union F = p ∪ Vⁿ, where p is a point and Vⁿ is a connected manifold of dimension n with n > 0. The description is given in terms of the set of equivariant cobordism classes of involutions fixing p ∪ Vⁿ. This generalizes a lot of previously obtained particular cases of the above question; additionally, the result yields some new applications, namely with Vⁿ an arbitrary product of spheres and with Vⁿ any n-dimensional closed manifold with n odd.

83-97

wydano
2002

### Twórcy

autor
• Departamento de Matemática, Universidade Federal de São Carlos, Caixa Postal 676, CEP 13.565-905, São Carlos, SP, Brazil