An interpretation of E_n-homology as functor homology

Details An interpretation of E_n-homology as functor homology An interpretation of E_n-homology as functor homology

2009-07-07

arxiv.org/abs/0907.1283v3

Mathematics

K-Theory and 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 wh

Scientific paper

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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