Dehn-Sydler-Jessen Via Homological Algebra

2025/02/05 by Anubhav Nanavaty, Nanavaty, Anubhav
Chemistry · #Algebraic Topology (math.AT) #FOS: Mathematics #History and advancements in chemistry

paper · pdf · doi:10.48550/arxiv.2502.03380

openalex publication_date 2025/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an expository introduction to Euclidean Scissors Congruence, the study of polytopes in Euclidean space up to `cut and paste' relations. We first re-frame questions in scissors congruence as those in group homology. We then use this perspective to review the proof of the Dehn-Sydler-Jessen Theorem as found in the works of Dupont and Sah.

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