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math.AC2023
Secondary Hochschild cohomology and derivations
Kylie Bennett, Elizabeth Heil, Jacob Laubacher
In this paper, we introduce a generalization of derivations. Using these so-called secondary derivations, along with an analogue of Connes' Long Exact Sequence, we are able to prov…
math.AC2022
Secondary Hochschild homology and differentials
Jacob Laubacher
In this paper we study a generalization of Kähler differentials, which correspond to the secondary Hochschild homology associated to a triple . We establish comp…
math.AC2017
Simplicial Structures Over the 3-Sphere and Generalized Higher Order Hochschild Homology
Samuel Carolus, Jacob Laubacher
In this paper we investigate the simplicial structure of a chain complex associated to the higher order Hochschild homology over the -sphere. We also introduce the tertiary Hoch…