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This article is cited in 6 scientific papers (total in 6 papers)
$SL(2)$-Solution of the Pentagon Equation and Invariants of Three-Dimensional Manifolds
I. G. Korepanov South Ural State University
Abstract:
We construct an algebraic complex corresponding to a triangulation of a three-manifold starting with a classical solution of the pentagon equation, constructed earlier by the author and Martyushev and related to the flat geometry, which is invariant under the group $SL(2)$. If this complex is acyclic (which is confirmed by examples), we can use it to construct an invariant of the manifold.
Keywords:
pentagon equation, Pachner moves, acyclic complexes, torsion, invariants of manifolds.
Received: 23.12.2002
Citation:
I. G. Korepanov, “$SL(2)$-Solution of the Pentagon Equation and Invariants of Three-Dimensional Manifolds”, TMF, 138:1 (2004), 23–34; Theoret. and Math. Phys., 138:1 (2004), 18–27
Linking options:
https://www.mathnet.ru/eng/tmf11https://doi.org/10.4213/tmf11 https://www.mathnet.ru/eng/tmf/v138/i1/p23
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Abstract page: | 380 | Full-text PDF : | 190 | References: | 43 | First page: | 2 |
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