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arXiv · 2302.00051

Addendum to "The $\hat A$-genus of $S^1$-manifolds with finite second homotopy group"

Manuel Amann·Anand Dessai
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Abstract

In C. R. Math. Acad. Sci. Paris 348 (2010) pp. 283--285 (arXiv:0811.0840) we constructed examples of $S^1$-manifolds with finite second homotopy group and non-vanishing $\hat A$-genus. The reasoning was based on an equivariant surgery lemma which only holds under additional assumptions. To remedy the situation we give a construction using explicit equivariant surgeries.

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Manuel Amann, Anand Dessai. 2023-01-31. Addendum to "The $\hat A$-genus of $S^1$-manifolds with finite second homotopy group". https://arxiv.org/abs/2302.00051

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