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arXiv · 2103.10208

Twisted Milnor Hypersurface I

Jingfang Lian·Fei Han·Hao Li·Zhi Lü
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Abstract

In this paper, we study {\bf twisted Milnor hypersurfaces} and compute their $\hat A$-genus and Atiyah-Singer-Milnor $\alpha$-invariant. Our tool to compute the $\alpha$-invariant is Zhang's analytic Rokhlin congruence formula. We also give some applications about group actions and metrics of positive scalar curvature on twisted Milnor hypersurfaces.

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Jingfang Lian, Fei Han, Hao Li, Zhi Lü. 2021-03-18. Twisted Milnor Hypersurface I. https://arxiv.org/abs/2103.10208

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