Reconstructing triangulations of 3-manifolds from their intersection matrix

Jorge L. Arocha; Jorge Fernández-Hidalgo

Reconstructing triangulations of 3-manifolds from their intersection matrix

Geometric Topology 2021-03-01 v1 Combinatorics

Authors: Jorge L. Arocha , Jorge Fernández-Hidalgo

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.

Keywords

triangulations manifolds surfaces and embeddings

Cite

@article{arxiv.2102.13230,
  title  = {Reconstructing triangulations of 3-manifolds from their intersection matrix},
  author = {Jorge L. Arocha and Jorge Fernández-Hidalgo},
  journal= {arXiv preprint arXiv:2102.13230},
  year   = {2021}
}