2017/07/12 by Carolus, Samuel, Laubacher, Jacob
#16E40 (Primary) #18G30 #18G35 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics #K-Theory and Homology (math.KT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1707.03863
In this paper we investigate the simplicial structure of a chain complex associated to the higher order Hochschild homology over the 3-sphere. We also introduce the tertiary Hochschild homology corresponding to a quintuple (A,B,C,ε,θ), which becomes natural after we organize the elements in a convenient manner. We establish these results by way of a bar-like resolution in the context of simplicial modules. Finally, we generalize the higher order Hochschild homology over a trio of simplicial sets, which also grants natural geometric realizations.