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.
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