(S^(2^i))~2上光滑对合的几个问题

Some Problems of Smooth Involutions on (S^(2^i))~2

证明(S^(2^i))~2上的任一个光滑非自由对合一定是有常维数的不动点集F,且dim(H^(F;Z_2))=4;(S^(2^i))~2上的光滑对合在等变协边的意义下是惟一的.

In this paper, we prove that the fixed point set of any smooth unfree involution on is of constant dimension, and there is only one smooth involution on up to eguivariant cobordism.