## Algebraic & Geometric Topology

### Higher Hochschild cohomology of the Lubin–Tate ring spectrum

Geoffroy Horel

#### Abstract

We construct a spectral sequence computing factorization homology of an $ℰd$–algebra in spectra using as an input an algebraic version of higher Hochschild homology due to Pirashvili. This induces a full computation of higher Hochschild cohomology when the algebra is étale. As an application, we compute higher Hochschild cohomology of the Lubin–Tate ring spectrum.

#### Article information

Source
Algebr. Geom. Topol., Volume 15, Number 6 (2015), 3215-3252.

Dates
Revised: 24 March 2015
Accepted: 6 April 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841066

Digital Object Identifier
doi:10.2140/agt.2015.15.3215

Mathematical Reviews number (MathSciNet)
MR3450760

Zentralblatt MATH identifier
1332.55004

#### Citation

Horel, Geoffroy. Higher Hochschild cohomology of the Lubin–Tate ring spectrum. Algebr. Geom. Topol. 15 (2015), no. 6, 3215--3252. doi:10.2140/agt.2015.15.3215. https://projecteuclid.org/euclid.agt/1510841066

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