Simplicial structures over the 3-sphere and generalized higher order Hochschild homology | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 5، دوره 15، شماره 1، مهر 2021، صفحه 93-143 اصل مقاله (937.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.52547/cgasa.15.1.93 | ||
| نویسندگان | ||
| Samuel Carolus1؛ Jacob Laubacher2 | ||
| 1Department of Mathematics, Ohio Northern University, Ohio, United States of America | ||
| 2Department of Mathematics, St. Norbert College, Wisconsin, United States of America | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Higher order Hochschild homology؛ pre-simplicial algebras؛ deformations | ||
| مراجع | ||
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