Pachner Move 3->3 and Affine Volume-Preserving Geometry in R^3
arXiv:math/0510095 · doi:10.3842/SIGMA.2005.021
Abstract
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.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/