摘要
Let (M, T) be a closed manifold with an involution T. The fixed point set of T is F. In this article, bordism classes of the involutions with fixed point set F = ^mUi=1 CPi(1)×HPi(n) are determined, where CP(1) and HP(n) denote the 1-dimensional i=1 complex projective space and n-dimensional quaternionic projective space respectively, and n=2^p-2or n=2^p-1(p〉 1).
Let (M, T) be a closed manifold with an involution T. The fixed point set of T is F. In this article, bordism classes of the involutions with fixed point set F = ^mUi=1 CPi(1)×HPi(n) are determined, where CP(1) and HP(n) denote the 1-dimensional i=1 complex projective space and n-dimensional quaternionic projective space respectively, and n=2^p-2or n=2^p-1(p〉 1).
基金
supported by NSFC (10971050
11001073
10901045)
HNSFC(A2010000828)
FHUST (XL201043
QD201021)