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

Abstract

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.

arXiv comment20 pages, 3 figures

References in corpus (1)

• Euclidean 4-simplices and invariants of four-dimensional manifolds: II. An algebraic complex and moves 2 <-> 4

Cited by in corpus (6)

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• Invariants of three-dimensional manifolds from four-dimensional Euclidean geometry
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• Two Representations of the Fundamential Group and Invariants of Lens Spaces