En–cohomology with coefficients as functor cohomology
Copyright policy )En–cohomology with coefficients as functor cohomology
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
18G15, Hochschild homology, 13D03, functor homology, K-Theory and Homology (math.KT), iterated bar construction, operads, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), 55P48, Mathematics - Algebraic Topology, $E_n$-homology, 13D03, 55P48, 18G15
18G15, Hochschild homology, 13D03, functor homology, K-Theory and Homology (math.KT), iterated bar construction, operads, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), 55P48, Mathematics - Algebraic Topology, $E_n$-homology, 13D03, 55P48, 18G15
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