An interpretation of E (n) -homology as functor homology

作者：Livernet Muriel; Richter Birgit^*

来源：Mathematische Zeitschrift, 2011, 269(1-2): 193-219.

DOI：10.1007/s00209-010-0722-5

• Functor homology
• Iterated bar construction
• E-n-homology
• Hochschild homology
• Operads

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.

• 出版日期2011-10