A note on the $\hat A$-genus for $π_2$-finite manifolds with $S^1$-symmetry

Details A note on the $\hat A$-genus for $π_2$-finite manifolds with $S^1$-symmetry A note on the $\hat A$-genus for $π_2$-finite manifolds with $S^1$-symmetry

2008-11-05

arxiv.org/abs/0811.0840v1

Mathematics

Differential Geometry

Scientific paper

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.

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