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Secondary Hochschild homology and differentials

2022/06/23 by Jacob Laubacher, Laubacher, Jacob
Mathematics · #13D03 (Primary) #13N05 (Secondary) #16E40 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2206.11797

openalex publication_date 2022/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study a generalization of Kähler differentials, which correspond to the secondary Hochschild homology associated to a triple (A,B,ε). We establish computations in low dimension, while also showing how this connects with the kernel of a multiplication map.

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