Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• ISSN: 1815-0659
• Main Author: Korepanov, I.G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209339
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ / I.G. Korepanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 14 назв. — англ.

Pachner move 3 → 3 deals with triangulations of four-dimensional manifolds. We present an algebraic relation corresponding in a natural way to this move and based, a bit paradoxically, on three-dimensional geometry.