Crystallisation moves

M. Ferri and C. Gagliardi

Vol. 100 (1982), No. 1, 85–103

DOI: 10.2140/pjm.1982.100.85

Abstract

A crystallisation of a closed PL-manifold is an edge-coloured graph, which represents it via a contracted triangulation. Any two crystallisations of the same manifold are proved to be joined by a finite sequence of moves, two alternative sets of which are defined. A further move for dimension 3 is introduced.

Mathematical Subject Classification 2000

Primary: 57Q15

Milestones

Received: 4 June 1980

Published: 1 May 1982