An interpretation of E_n-homology as functor homology
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homologyfunctorn-homologyalgebrascategorycertaincommutativeconnected
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We prove that E_n-homology of non-unital commutative algebras can be described as functor homology when one considers functors from a certain category of planar trees with n levels. For different n these homology theories are connected by natural maps, ranging from Hochschild homology and its higher order versions to Gamma homology.
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