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28 March 2024
 
  » arxiv » math.GT/0210343

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Distinguishing three-dimensional lens spaces L(7,1) and L(7,2) by means of classical pentagon equation
I. G. Korepanov ; E. V. Martyushev ;
Date 22 Oct 2002
Journal J. Nonlinear Math. Phys. 9, no. 1 (2002) 86-98
Subject Geometric Topology; Algebraic Topology | math.GT math.AT
AbstractWe construct new topological invariants of three-dimensional manifolds which can, in particular, distinguish homotopy equivalent lens spaces L(7,1) and L(7,2). The invariants are built on the base of a classical (not quantum) solution of pentagon equation, i.e.algebraic relation corresponding to a ``2 tetrahedra to 3 tetrahedra’’ local re-building of a manifold triangulation. This solution, found earlier by one of the authors, is expressed in terms of metric characteristics of Euclidean tetrahedra.
Source arXiv, math.GT/0210343
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