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arXiv · 2102.13230

Reconstructing triangulations of 3-manifolds from their intersection matrix

Jorge L. Arocha·Jorge Fernández-Hidalgo
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Abstract

The intersection matrix of a simplicial complex has entries equal to the rank of the intersection of its facets. In [1] the authors prove the intersection matrix is enough to determine a triangulation of a surface up to isomorphism. In this work we show the intersection matrix is enough to determine the triangulation of a 3-manifold up to isomorphism.

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Jorge L. Arocha, Jorge Fernández-Hidalgo. 2021-02-25. Reconstructing triangulations of 3-manifolds from their intersection matrix. https://arxiv.org/abs/2102.13230

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