An interpretation of E n -homology as functor homology
Copyright policy )An interpretation of E n -homology as functor homology
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
- Universität Hamburg Germany
- University of Paris France
- Paris 13 University France
- French National Centre for Scientific Research France
\(E_{n}\)-homology, Hochschild homology, Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), functor homology, K-Theory and Homology (math.KT), iterated bar construction, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), operads, Loop space machines and operads in algebraic topology, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 13D03, 55P48, 18G15
\(E_{n}\)-homology, Hochschild homology, Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), functor homology, K-Theory and Homology (math.KT), iterated bar construction, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), operads, Loop space machines and operads in algebraic topology, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 13D03, 55P48, 18G15
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).6 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!