Models of Lubin–Tate spectra via Real bordism theory

Agnès Beaudry,Michael A Hill,Xiaolin Danny Shi,Mingcong Zeng

doi:10.1016/j.aim.2021.108020

Models of Lubin–Tate spectra via Real bordism theory

Agnès Beaudry, Michael A Hill + Show 2 more

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https://doi.org/10.1016/j.aim.2021.108020

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Journal: Advances in Mathematics	Publication Date: Sep 17, 2021
Citations: 5	License type: publisher-specific-oa

Affiliation: University of Colorado Boulder, University of California, Los Angeles, University of Chicago, Utrecht University

#Formal Group Laws #Formal Laws + Show 6 more

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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 C2n-equivariant Real oriented models of Lubin–Tate spectra Eh at heights h=2n−1m and give explicit formulas of the C2n-action on their coefficient rings. Our construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory MUR, and our work examines the height of the formal group laws of the Hill–Hopkins–Ravenel norms of MUR.

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