Models of Lubin-Tate spectra via Real bordism theory

Autor:	Beaudry, Agnes, Hill, Michael A., Shi, XiaoLin Danny, Zeng, Mingcong
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	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 $MU_{\mathbb{R}}$. Comment: Minor changes. Accepted version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.08295 Zobrazit plný text záznamu View this record from Arxiv