Simplicial moves on complexes and manifolds

Details Simplicial moves on complexes and manifolds Simplicial moves on complexes and manifolds

1999-11-20

arxiv.org/abs/math/9911256v1

Geom. Topol. Monogr. 2 (1999), 299-320

Mathematics

Geometric Topology

22 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper16.abs.html

Scientific paper

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.

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