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arXiv · 0907.1283

An interpretation of E_n-homology as functor homology

Muriel Livernet·Birgit Richter
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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.

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Muriel Livernet, Birgit Richter. 2010-05-30. An interpretation of E_n-homology as functor homology. https://arxiv.org/abs/0907.1283

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