Simplicial moves on complexes and manifolds
Geometric Topology
2016-09-07 v1
Abstract
Here are versions of the proofs of two classic theorems of combinatorial topology. The first is the result that piecewise linearly homeomorphic simplicial complexes are related by stellar moves. This is used in the proof, modelled on that of Pachner, of the second theorem. This states that moves from only a finite collection are needed to relate two triangulations of a piecewise linear manifold.
Cite
@article{arxiv.math/9911256,
title = {Simplicial moves on complexes and manifolds},
author = {W. B. R. Lickorish},
journal= {arXiv preprint arXiv:math/9911256},
year = {2016}
}
Comments
22 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper16.abs.html