En–cohomology with coefficients as functor cohomology

Ziegenhagen, Stephanie

doi:10.2140/agt.2016.16.2981

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$E_n$–cohomology with coefficients as functor cohomology

Stephanie Ziegenhagen

Algebraic & Geometric Topology 16 (2016) 2981–3004

DOI: 10.2140/agt.2016.16.2981

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

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

Volume 16, issue 5 (2016)