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Reconstructing triangulations of 3-manifolds from their intersection matrix (2102.13230v1)

Published 25 Feb 2021 in math.GT and math.CO

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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