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Twisted Milnor Hypersurface I

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arxiv 2103.10208 v1 pith:OAOXSPZJ submitted 2021-03-18 math.AT

Twisted Milnor Hypersurface I

Jingfang Lian , Fei Han , Hao Li , Zhi L\"u This is my paper
classification math.AT
keywords milnortwistedalphacomputehypersurfacesinvariantactionsanalytic
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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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