Higher \A-genera on certain non-spin $S^1$-manifolds
We prove the vanishing of higher A-hat-genera, in the sense of Browder and Hsiang, on smooth manifolds with effective circle actions and with finite second and fourth homotopy groups
math.DG↗
arXiv subjects
Haydee Herrera
Publications and source records attributed to Haydee Herrera.
Complex contact manifolds and circle actions
We prove rigidity and vanishing theorems for several holomorphic Euler characteristics on complex contact manifolds admitting holomorphic circle actions preserving the contact structure. Such vanishings are reminiscent of those of LeBrun and Salamon on Fano contact manifolds but under a symmetry assumption instead of a curvature condition.
math.GT↗