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

Anand Dessai; Manuel Amann

arxiv: 0811.0840 · v1 · submitted 2008-11-05 · 🧮 math.DG

A note on the hat A-genus for π₂-finite manifolds with S¹-symmetry

Manuel Amann , Anand Dessai This is my paper

classification 🧮 math.DG

keywords manifoldsfinitegenusclassificationconstructexamplesgrouphomotopy

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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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A note on the hat A-genus for π₂-finite manifolds with S¹-symmetry

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