Models of Lubin-Tate spectra via Real bordism theory

Agnes Beaudry; Michael A. Hill; XiaoLin Danny Shi; Mingcong Zeng

Models of Lubin-Tate spectra via Real bordism theory

Algebraic Topology 2021-11-29 v3

Authors: Agnes Beaudry , Michael A. Hill , XiaoLin Danny Shi , Mingcong Zeng

Abstract

We study certain formal group laws equipped with an action of the cyclic group of order a power of $2$ . We construct $C_{2^n}$ -equivariant Real oriented models of Lubin-Tate spectra $E_h$ at heights $h=2^{n-1}m$ and give explicit formulas of the $C_{2^n}$ -action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory $MU_{\mathbb{R}}$ , and our work examines the height of the formal group laws of the Hill-Hopkins-Ravenel norms of $MU_{\mathbb{R}}$ .

Keywords

lubin-tate spectra real bordism theory equivariant formal group law cyclic group action hill-hopkins-ravenel norms coefficient rings

Cite

@article{arxiv.2001.08295,
  title  = {Models of Lubin-Tate spectra via Real bordism theory},
  author = {Agnes Beaudry and Michael A. Hill and XiaoLin Danny Shi and Mingcong Zeng},
  journal= {arXiv preprint arXiv:2001.08295},
  year   = {2021}
}

Comments

Minor changes. Accepted version

Models of Lubin-Tate spectra via Real bordism theory

Abstract

Keywords

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