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 En–homology and En–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
References
Publication
Received: 14 October 2015
Revised: 1 February 2016
Accepted: 23 March 2016
Published: 7 November 2016
Authors
Stephanie Ziegenhagen
Department of Mathematics
KTH Royal Institute of Technology
SE-100 44 Stockholm
Sweden