Twisted Milnor Hypersurface I

Abstract

In this paper, we study twisted Milnor hypersurfaces and compute their A-genus and Atiyah-Singer-Milnor α-invariant. Our tool to compute the α-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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