Models of Lubin-Tate spectra via Real bordism theory

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 $M{U}_{\mathbb{R}}$, and our work examines the height of the formal group laws of the Hill-Hopkins-Ravenel norms of $M{U}_{\mathbb{R}}$.

Minor changes. Accepted version

References in corpus (1)

• Finite subgroups of extended Morava stabilizer groups

Cited by in corpus (3)

• Tate blueshift and vanishing for Real oriented cohomology
• Odd primary analogs of Real orientations
• Transchromatic extensions in motivic and Real bordism