$Z₂^k$-actions fixing point ∪ Vⁿ

• Autorzy: Pedro L. Q. Pergher
• Języki publikacji: 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.

Kategorie tematyczne

• 57R85: Equivariant cobordism
• 57R75: O - and SO -cobordism

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 172
• Numer: 1
• Strony: 83-97

Daty

wydano

2002

Twórcy

autor

Pedro L. Q. Pergher

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

Identyfikatory

DOI

10.4064/fm172-1-6