Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3

Abstract

Pachner move 3 o 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.

Keywords

• piecewise-linear topology
• Pachner move
• algebraic relation
• three-dimensional affine geometry