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

Mathematics – Geometric Topology

Scientific paper

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Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2005.021

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.

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