Geodesic
Classification of the gluing matrices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 6, pp. 85-94.

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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. 
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A. I. Zhila. Classification of the gluing matrices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 6, pp. 85-94. http://geodesic.mathdoc.fr/item/FPM_2019_22_6_a2/

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