#### Volume 16, issue 5 (2016)

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$E_n$–cohomology with coefficients as functor cohomology

### Stephanie Ziegenhagen

Algebraic & Geometric Topology 16 (2016) 2981–3004
##### Abstract

Building on work of Livernet and Richter, we prove that ${E}_{n}$–homology and ${E}_{n}$–cohomology of a commutative algebra with coefficients in a symmetric bimodule can be interpreted as functor homology and cohomology. Furthermore, we show that the associated Yoneda algebra is trivial.

##### Keywords
functor homology, $E_n$-homology, iterated bar construction, Hochschild homology, operads
##### Mathematical Subject Classification 2010
Primary: 13D03, 18G15, 55P48