CODIMENSION 1 AND 2 IMMERSIONS OF DOLD MANIFOLDS IN COMPLEX PROJECTIVE SPACES

In this paper the following problem has been completely solved:when is a map f:P（m‘n）→CP? homotopic to an immersion with codimension one or

不动点集是Dold流形P(2m,2n+1)的带有对合T的流形

研究具有光滑对合T的4n+2m+2+K维闭流形M,如果对合的不动点集是F=P(2m,2n+1),其中m是4的倍数,证明了当n≥m>0时,(M,T)协边于零;当m>n≥0时,且m-n为偶数时,(M,T)协边于零.

固定于P(m,n)×HP(1)的光滑对合

证明了具有不动点集P(m,n)×HP(1)的光滑对合(Mr,T)协边于零,其中P(m,n)是Dold流形,HP(1)是四元数射影空间,m=8k,n>m,n为奇数且其2-幂展开式中含有2.

固定于P(m,n)×HP(1)的光滑对合

设(Mr,T)是一个在r维闭光滑流形上的不平凡光滑对合,当不动点集是P(m,n)×HP(1)且m与n满足一定条件时(Mr,T)协边于零,其中P(m,n)是Dold流形,HP(1)是四元数射影空间.

(Z_2)~k-Actions with Fixed Point Set of Constant Codimension 2~k+2

Let J_(*,k)~r 2. denote the ideal in MO_* of cobordism classes containing arepresentative that admits (Z_2)~k-actions with a fixed point set of constant codimension r. Inthis paper we determine J_(*,k)^(2^k+2) and J_(*,3)^(2^3+1).

不动点集为P(1，n)×HP(1)的光滑对合

设(M^r,T)是一个在r维闭光滑流形上的不平凡光滑对合,可证对合的不动点集是P(1,n)×HP(1),n为奇数,则(M^r,T)协边于零.