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arXiv · 2502.03380

Dehn-Sydler-Jessen Via Homological Algebra

Anubhav Nanavaty
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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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Anubhav Nanavaty. 2025-02-05. Dehn-Sydler-Jessen Via Homological Algebra. https://arxiv.org/abs/2502.03380

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