对合不动点集为L^2(p)的流形

The Manifolds with Involution Whose Fixed Point Set is L^2(p)

(M5+k,T) 是光滑闭流形上的一个非平凡光滑对合 ,它的不动点集为 5维透镜空间 L2 ( p) .本文讨论了 ( M5+k,T)的存在性 ,在存在的情形下 ,( M5+k,T)是协边的 .

Let (M 5+k, T) be a smooth involution on a closed smooth manifold, whose fixed point set is L2(p). In this paper, we study the existness of the involution (M 5+k, T), and give their cobordism classes.