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Fundam. Prikl. Mat., 2019, Volume 22, Issue 6, Pages 85–94 (Mi fpm1854)  

Classification of the gluing matrices on the loop molecules of the points of centre-centre type

A. I. Zhila

Lomonosov Moscow State University

Abstract: The Fomenko–Zieschang theory of topological invariants says that the mark $r$ is zero for the points of centre-centre type. The mark $\varepsilon$ is known to be dependent on the orientation of the $Q^3$ manifold, the orientation of the critical circumferences of the Liouville system's additional integral $F$, and the orientation of the molecule's ribs. This article investigates the method of the explicit setting of the basis cycles' orientation and suggests a way of finding the gluing matrices on the loop molecules of the points of centre-centre type depending on the allocation of the arcs of the bifurcation diagram.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00170_а
Ministry of Education and Science of the Russian Federation НШ-6399.2018.1


Full text: PDF file (262 kB)
UDC: 515.162

Citation: A. I. Zhila, “Classification of the gluing matrices on the loop molecules of the points of centre-centre type”, Fundam. Prikl. Mat., 22:6 (2019), 85–94

Citation in format AMSBIB
\Bibitem{Zhi19}
\by A.~I.~Zhila
\paper Classification of the gluing matrices
on the loop molecules of the points of centre-centre type
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 6
\pages 85--94
\mathnet{http://mi.mathnet.ru/fpm1854}


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  • Фундаментальная и прикладная математика
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