A note on the ${\mathbb{Z}}_2$-equivariant Montgomery-Yang correspondence

Abstract

In this paper, a classification of free involutions on 3-dimensional homotopy complex projective spaces is given. By the ${\mathbb{Z}}_2$-equivariant Montgomery-Yang correspondence, we obtain all smooth involutions on $S^6$ with fixed-point set an embedded $S^3$.

5 pages