Kian Lush

Complex Projective Spaces in Rational $SO(2)$-Equivariant Stable Homotopy Theory

We show that for almost every finite dimensional complex representation $W$ of $SO(2)$ the associated complex projective space $\mathbb{C}P(W)_+$ does not have the rational stable homotopy type of a specific wedge of representation spheres constructed from a chosen filtration of $\mathbb{C}P(W)_+$. This contrasts with...