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arXiv · 2001.08295

Models of Lubin-Tate spectra via Real bordism theory

Agnes Beaudry·Michael A. Hill·XiaoLin Danny Shi·Mingcong Zeng
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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 $MU_{\mathbb{R}}$.

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Agnes Beaudry, Michael A. Hill, XiaoLin Danny Shi, Mingcong Zeng. 2020-01-22. Models of Lubin-Tate spectra via Real bordism theory. https://arxiv.org/abs/2001.08295

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