paper

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

arXiv:math/0212018

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.

20 pages, 3 figures