Geodesic
Local modeling of Liouville foliations by billiards: implementation of edge invariants
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2021), pp. 28-32

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The local case of A. Fomenko conjecture on the possibility of modeling Liouville foliations by integrable billiards is discussed. An extended version of its statements on numerical invariants on the edge of the Fomenko–Zieschang invariant of the Liouville foliation is proved. We show the realization of the Liouville foliation with some combinations of numerical marks values on a fixed edge by an appropriate class of integrable billiards. 
@article{VMUMM_2021_2_a4,
     author = {V. V. Vedyushkina},
     title = {Local modeling of {Liouville} foliations by billiards: implementation of edge invariants},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {28--32},
     publisher = {mathdoc},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2021_2_a4/}
}
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V. V. Vedyushkina. Local modeling of Liouville foliations by billiards: implementation of edge invariants. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2021), pp. 28-32. http://geodesic.mathdoc.fr/item/VMUMM_2021_2_a4/