A note on the $\mathbb Z_2$-equivariant Montgomery-Yang correspondence

Mathematics – Geometric Topology

Scientific paper

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5 pages

Scientific paper

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 $S^3$.

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