Higher Hochschild cohomology of the Lubin–Tate ring spectrum

Horel, Geoffroy

doi:10.2140/agt.2015.15.3215

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Higher Hochschild cohomology of the Lubin–Tate ring spectrum

Geoffroy Horel

Algebraic & Geometric Topology 15 (2015) 3215–3252

DOI: 10.2140/agt.2015.15.3215

Abstract

We construct a spectral sequence computing factorization homology of an $ℰ_{d}$ –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

References

Publication

Received: 17 March 2014

Revised: 24 March 2015

Accepted: 6 April 2015

Published: 12 January 2016

Authors

Geoffroy Horel
Mathematisches Institut Universität Münster Einsteinstrasse 62 D-48149 Münster Germany
http://geoffroy.horel.org

Volume 15, issue 6 (2015)