Let Z2 denote a cyclic group of 2 order and Z_(2)^(2)=Z_(2)×Z_(2)the direct product of groups.Suppose that(M,Φ)is a closed and smooth manifold M with a smooth Z_(2)^(2)-action whose fixed point set is the disjoi...Let Z2 denote a cyclic group of 2 order and Z_(2)^(2)=Z_(2)×Z_(2)the direct product of groups.Suppose that(M,Φ)is a closed and smooth manifold M with a smooth Z_(2)^(2)-action whose fixed point set is the disjoint union of two real projective spaces with the same dimension.In this paper,the authors give a sufficient condition on the fixed data of the action for(M,Φ)bounding equivariantly.展开更多
基金supported by the National Natural Science Foundation of China(No.11771116)。
文摘Let Z2 denote a cyclic group of 2 order and Z_(2)^(2)=Z_(2)×Z_(2)the direct product of groups.Suppose that(M,Φ)is a closed and smooth manifold M with a smooth Z_(2)^(2)-action whose fixed point set is the disjoint union of two real projective spaces with the same dimension.In this paper,the authors give a sufficient condition on the fixed data of the action for(M,Φ)bounding equivariantly.