Simplicial structures over the 3-sphere and generalized higher order Hochschild homology
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_CGASAT-15-1_004
Index date: 14 September 2021
Simplicial structures over the 3-sphere and generalized higher order Hochschild homology abstract
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,\varepsilon,\theta), 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.
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Simplicial structures over the 3-sphere and generalized higher order Hochschild homology authors
Samuel Carolus
Department of Mathematics, Ohio Northern University, Ohio, United States of America
Jacob Laubacher
Department of Mathematics, St. Norbert College, Wisconsin, United States of America
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