An interpretation of E_n-homology as functor homology
arXiv:0907.1283
Abstract
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.
More details for the proof of 3.8 and 3.10, part 4 changed: the proof of the main theorem uses homology of small categories which is explained in 4.2 and 4.3. To appear in Mathematische Zeitschrift