%0 Journal Article %T A note on the $\hat A$-genus for $¦Ð_2$-finite manifolds with $S^1$-symmetry %A Manuel Amann %A Anand Dessai %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0811.0840v1