Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - 1
Pages
86 - 98
Publication Date
2002/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2002.9.1.8How to use a DOI?
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  -