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Paper detail

Reconstructing triangulations of 3-manifolds from their intersection matrix

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.

preprint2021arXivOpen access
Jorge L. ArochaJorge Fernández-Hidalgo
math.COmath.GT
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Jorge L. ArochaJorge Fernández-Hidalgo

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