# A note on the $\hat A$-genus for $\pi_2$-finite manifolds with $S^1$-symmetry

Authors
Type
Preprint
Publication Date
Nov 05, 2008
Submission Date
Nov 05, 2008
Source
arXiv
We construct examples of $S^1$-manifolds with finite second homotopy group and non-vanishing $\hat A$-genus. This is related to the classification of positive quaternionic Kaehler manifolds.