不动点集为RP(4)∪P(4,2~n-1)的对合

Involutions Fixing RP(4)∪P(4, 2~n-1)

设(M,T)是一个光滑闭流形上的对合,不动点集为F=RP(4)∪P(4,2n-1),则它的每一个对合(M,T)必协边(RP(4)×RP(4),twist)和(P(4,2n),T′)之一.

Let (M, T) by an involution on a closed manifold, and let F=RP(4)∪P(4, 2~n-1) denote the fixed point set of (M, T). We show that every involution (M, T) is cobordant to one of the involutions (RP(4)×RP(4), twist) and (P(4, 2~n), T′).