Euclidean simplices and invariants of three-manifolds: a modification of the invariant for lens spaces

Mathematics – Algebraic Topology

Scientific paper

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20 pages, 3 figures

Scientific paper

We propose a modification of the three-manifold invariant based on the use of
Euclidean metric values ascribed to the elements of manifold triangulation. We
thus obtain a nontrivial invariant that can, in particular, distinguish
non-homeomorphic lens spaces.

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