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arxiv: 1412.6031 · v2 · pith:LN3D4CTSnew · submitted 2014-12-18 · 🧮 math.AT · math.KT

E_n-cohomology with coefficients as functor cohomology

classification 🧮 math.AT math.KT
keywords algebracoefficientscohomologyfunctorn-cohomologyassociatedbimodulebuilding
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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.

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