Smooth free involution of $H\mathbb{C}{P}^3$ and Smith conjecture for imbeddings of $S^3$ in $S^6$

Bang-he Li, Zhi Lü

This paper establishes an equivalence between existence of free involutions on $H\mathbb{C}{P}^3$ and existence of involutions on $S^6$ with fixed point set an imbedded $S^3$, then a f…