Secondary Hochschild homology and differentials
Jacob Laubacher
TL;DR
This paper explores a generalization of Kähler differentials through secondary Hochschild homology, providing computations in low dimensions and linking to the kernel of a multiplication map.
Contribution
It introduces a new framework connecting secondary Hochschild homology with generalized differentials and computes specific low-dimensional cases.
Findings
Computed low-dimensional cases of secondary Hochschild homology
Connected secondary Hochschild homology with the kernel of multiplication
Extended understanding of generalized Kähler differentials
Abstract
In this paper we study a generalization of K\"ahler differentials, which correspond to the secondary Hochschild homology associated to a triple . We establish computations in low dimension, while also showing how this connects with the kernel of a multiplication map.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory