Simplicial moves on complexes and manifolds

W. B. R. Lickorish

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arXiv · math/9911256

Simplicial moves on complexes and manifolds

W. B. R. Lickorish

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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.

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BibTeX RIS

W. B. R. Lickorish. 1999-11-20. Simplicial moves on complexes and manifolds. https://arxiv.org/abs/math/9911256

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