The cyclic homology of k[x₁,x₂,…,x_d]/(x₁,x₂,…,x_d)²

2020/10/17 by Emily M. Rudman, Rudman, Emily
Computer Science · Mathematics · #13P20 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2010.08845

openalex publication_date 2020/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Hochschild homology of the ring k[x₁,x₂,…,x_d]/(x₁,x₂,…,x_d)² has been known and calculated several ways. This paper uses those calculations to calculate cyclic, negative cyclic, and periodic cyclic homology of k[x₁,x₂,…,x_d]/(x₁,x₂,…,x_d)² over k.

Citations

• Relative Algebraic K-Theory and Cyclic Homology

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