Volume 9, Issue 1, February 2002, Pages 86 - 98
Distinguishing Three-Dimensional Lens Spaces L(7, 1) and L(7, 2) by Means of Classical Pentagon Equation
Authors
I.G. Korepanov, E.V. Martyushev
Corresponding Author
I.G. Korepanov
Received 15 May 2001, Revised 20 October 2001, Accepted 26 October 2001, Available Online 1 February 2002.
- DOI
- 10.2991/jnmp.2002.9.1.8How to use a DOI?
- Abstract
We 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 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - I.G. Korepanov AU - E.V. Martyushev PY - 2002 DA - 2002/02/01 TI - Distinguishing Three-Dimensional Lens Spaces L(7, 1) and L(7, 2) by Means of Classical Pentagon Equation JO - Journal of Nonlinear Mathematical Physics SP - 86 EP - 98 VL - 9 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.1.8 DO - 10.2991/jnmp.2002.9.1.8 ID - Korepanov2002 ER -