Involutions on S^6 with 3-dimensional fixed point set

TL;DR

This paper classifies all involutions on the 6-sphere with a 3-dimensional fixed point set, exploring their relation to knotted spheres and free involutions on homotopy complex projective spaces.

Contribution

It provides a complete classification of involutions on S^6 with 3D fixed points and links these to knotted spheres and homotopy CP^3 involutions.

Findings

Classification of involutions with 3D fixed point set on S^6

Connection between involutions and knotted 3-spheres

Relation to free involutions on homotopy CP^3

Abstract

In this article, we classify all involutions on S^6 with 3-dimensional fixed point set. In particular, we discuss the relation between the classification of involutions with fixed point set a knotted 3-sphere and the classification of free involutions on homotopy CP^3's.