不动点集为 "非汉字符号"CP_i(2n+1)的带有对合的光滑流形

Involution Fixing the Disjoint Union of Projective Spaces ■CP_i(2n+1)

设(Mr,T)是r维光滑闭流形M上的不平凡光滑对合,它的不动点集为F.给出了F=∪mCPi(2n+1)(r>4n+2)时对合的协边类,其中CP(2n+1)表示2n+1维复射影空间.

Let (M^r,T) denote the smooth involution on the closed maanifold M with fixed point set F.The bordism classes of the involutions with ∪mi=1CP_i(2n+1) are investigated.Here CP(2n+1) denotes the 2n+1 dimensional complex projective space. 