English

Twisted Milnor Hypersurface I

Algebraic Topology 2021-03-19 v1

Abstract

In this paper, we study {\bf twisted Milnor hypersurfaces} and compute their A^\hat A-genus and Atiyah-Singer-Milnor α\alpha-invariant. Our tool to compute the α\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.

Keywords

Cite

@article{arxiv.2103.10208,
  title  = {Twisted Milnor Hypersurface I},
  author = {Jingfang Lian and Fei Han and Hao Li and Zhi Lü},
  journal= {arXiv preprint arXiv:2103.10208},
  year   = {2021}
}
R2 v1 2026-06-24T00:18:50.846Z