Abstract

We classify circle actions on F-spaces X with H^od(X; Q) = 0 up to equivariant rational homotopy equivalence by the concept of g-points in the spectrum of the cohomology ring of Baut₀(X). In the case of circle actions on closed oriented manifolds X with the rational cohomology of flag varieties K ∕ T this gives a generalization of the rational homotopy classification of linear (or homomorphic) circle actions to nonlinear S¹-actions.

Authors