#### Volume 15, issue 6 (2015)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Higher Hochschild cohomology of the Lubin–Tate ring spectrum

### Geoffroy Horel

Algebraic & Geometric Topology 15 (2015) 3215–3252
##### Abstract

We construct a spectral sequence computing factorization homology of an ${\mathsc{ℰ}}_{d}$–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.

##### Keywords
factorization homology, Hochschild cohomology, little disk operad, Morava $E$ theory, Lubin–Tate spectrum, spectral sequence
##### Mathematical Subject Classification 2010
Primary: 55P43
Secondary: 16E40, 55P48