## Algebraic & Geometric Topology

### A relative Lubin–Tate theorem via higher formal geometry

#### Abstract

We formulate a theory of punctured affine formal schemes, suitable for describing certain phenomena within algebraic topology. As a proof-of-concept we show that the Morava $K$–theoretic localizations of Morava $E$–theory, which arise in transchromatic homotopy theory, corepresent a Lubin–Tate-type moduli problem in this framework.

#### Article information

Source
Algebr. Geom. Topol., Volume 15, Number 4 (2015), 2239-2268.

Dates
Revised: 18 September 2014
Accepted: 20 November 2014
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841002

Digital Object Identifier
doi:10.2140/agt.2015.15.2239

Mathematical Reviews number (MathSciNet)
MR3402340

Zentralblatt MATH identifier
1349.14148

#### Citation

Mazel-Gee, Aaron; Peterson, Eric; Stapleton, Nathaniel. A relative Lubin–Tate theorem via higher formal geometry. Algebr. Geom. Topol. 15 (2015), no. 4, 2239--2268. doi:10.2140/agt.2015.15.2239. https://projecteuclid.org/euclid.agt/1510841002

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