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$Z ₂^{k}$ -actions fixing point ∪ Vⁿ

Pedro L. Q. Pergher (2002)

Fundamenta Mathematicae

We describe the equivariant cobordism classification of smooth actions $(M^{m}, Φ)$ of the group $G = Z ₂^{k}$ 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...

$Z ₂^{k}$ -actions with a special fixed point set

Pedro L. Q. Pergher, Rogério de Oliveira (2005)

Fundamenta Mathematicae

Let Fⁿ be a connected, smooth and closed n-dimensional manifold satisfying the following property: if $N^{m}$ is any smooth and closed m-dimensional manifold with m > n and $T : N^{m} \to N^{m}$ is a smooth involution whose fixed point set is Fⁿ, then m = 2n. We describe the equivariant cobordism classification of smooth actions $(M^{m}; Φ)$ of the group $G = Z ₂^{k}$ on closed smooth m-dimensional manifolds $M^{m}$ for which the fixed point set of the action is a submanifold Fⁿ with the above property. This generalizes a result of F. L. Capobianco,...

Displaying 1 – 10 of 10

$Z ₂^{k}$ -actions fixing point ∪ Vⁿ

$Z ₂^{k}$ -actions with a special fixed point set

$Z_{n}$ -actions on 3-manifolds

Zerlegungs- und Ergänzungsgleichheit von quasikompakten Punktmengen bezüglich diskreter Transformationsgruppen

Zerspaltung äquivarianter Homotopiemengen.

Z/p Bordism.

Z/p Manifolds with Isolated Fixed Points.

Zum Eigenwertverteilung invarianter elliptischer Operatoren.

Zur Konstruktion homogener Kegel.

Zwei Orbittheoreme für Bewegungsgruppen

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