E_n-cohomology with coefficients as functor cohomology

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.

v2: Updated references

References in corpus (1)

• Higher Hochschild cohomology, Brane topology and centralizers of $E_n$-algebra maps