Supposing the smooth involution of the DOLD manifold P(2,2l)satisfies the following condition:the fiberation π:P(1,2l)×T_×(-1)S~∞→RP(∞)is totally nonhomologous to zero(cf.[1, p373]),this paper determines...Supposing the smooth involution of the DOLD manifold P(2,2l)satisfies the following condition:the fiberation π:P(1,2l)×T_×(-1)S~∞→RP(∞)is totally nonhomologous to zero(cf.[1, p373]),this paper determines the classification of smooth involution on the DOLD manifold P(1,2l) totally.展开更多
In [1], C. Kosniowshi and R. E. Stong have pointed out that the bordism class of fixed point set can determine nothing about manifold with involution. In this note, we are to consider the case of (M<sup>2n-k<...In [1], C. Kosniowshi and R. E. Stong have pointed out that the bordism class of fixed point set can determine nothing about manifold with involution. In this note, we are to consider the case of (M<sup>2n-k</sup>, T)（k=1, 2, 3, 4）whose fixed point set is constant codimension. The major result is:展开更多
Let （M, T） be a smooth closed manifold with a smooth involution T whose fixed point set is a disjoint union of an even-dimensional real projective space and a Dold manifold. In some cases, the equivariant bordism cl...Let （M, T） be a smooth closed manifold with a smooth involution T whose fixed point set is a disjoint union of an even-dimensional real projective space and a Dold manifold. In some cases, the equivariant bordism classes of （M, T） are determined.展开更多
In this paper,we study all the possible bordism classes for a smooth involution on a smooth closed manifold whose fixed point set is RP(1)∪P(m,n),m>0,n>0.
基金Supported by the Foundation of Tian Yuanthe Natural Science Foundation of Hebei province.
文摘Supposing the smooth involution of the DOLD manifold P(2,2l)satisfies the following condition:the fiberation π:P(1,2l)×T_×(-1)S~∞→RP(∞)is totally nonhomologous to zero(cf.[1, p373]),this paper determines the classification of smooth involution on the DOLD manifold P(1,2l) totally.
文摘In [1], C. Kosniowshi and R. E. Stong have pointed out that the bordism class of fixed point set can determine nothing about manifold with involution. In this note, we are to consider the case of (M<sup>2n-k</sup>, T)（k=1, 2, 3, 4）whose fixed point set is constant codimension. The major result is:
基金Supported by NSFC(11371118)SRFDP(20121303110004)+1 种基金HNSF(A2011205075)HNUHH(20110403)
文摘Let （M, T） be a smooth closed manifold with a smooth involution T whose fixed point set is a disjoint union of an even-dimensional real projective space and a Dold manifold. In some cases, the equivariant bordism classes of （M, T） are determined.
文摘In this paper,we study all the possible bordism classes for a smooth involution on a smooth closed manifold whose fixed point set is RP(1)∪P(m,n),m>0,n>0.
