Higher Hochschild cohomology of the Lubin–Tate ring spectrum

Horel, Geoffroy¹

¹Mathematisches Institut, Universität Münster, Einsteinstrasse 62, D-48149 Münster, Germany

Algebraic and Geometric Topology, Tome 15 (2015) no. 6, pp. 3215-3252

Résumé

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.

Détail

DOI : 10.2140/agt.2015.15.3215

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

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