Dehn-Sydler-Jessen Via Homological Algebra
Algebraic Topology
2025-02-06 v1
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.
Keywords
Cite
@article{arxiv.2502.03380,
title = {Dehn-Sydler-Jessen Via Homological Algebra},
author = {Anubhav Nanavaty},
journal= {arXiv preprint arXiv:2502.03380},
year = {2025}
}
Comments
24 pages, comments welcome!