Cofreeness of the Lubin-Tate deformation ring

TL;DR

This paper proves the cofreeness of the Lubin-Tate deformation ring by extending previous results on $ ext{H}_inity$-orientations to Morava $E$-theory power operations, advancing understanding in algebraic topology.

Contribution

It generalizes earlier cofreeness results to the context of Morava $E$-theory power operations, providing a new proof for the Lubin-Tate deformation ring.

Findings

Proves cofreeness of Lubin-Tate deformation ring.

Extends $ ext{H}_inity$-orientation results to Morava $E$-theory.

Enhances understanding of algebraic structures in stable homotopy theory.

Abstract

We give a proof of the cofreeness of the Lubin-Tate deformation ring, by generalizing earlier results by Matt Ando and Yifei Zhu about $\mathsf{H}_\infty$-orientations to the context of power operations for Morava $E$-theory.