Differentiable Pseudo-Free Circle Actions on Homotopy Spheres
Differentiable Pseudo-Free Circle Actions on Homotopy Spheres
Let G denote the circle group, $\varphi$ a differentiable pseudo-free G-action of type $({p_1}, \ldots ,{p_k})$ on a homotopy sphere ${\Sigma ^{2n + 1}}$, and X the vector field induced by $\varphi$. If w is a G-invariant 1-form satisfying $w(X) = 1$, then we will prove that ${\smallint _\Sigma }w …