Geodesic
Realization of numeriсal invariant of the Siefert bundle of integrable systems by billiards
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2020), pp. 22-28

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A local case of A. Fomenko conjecture on possibility of realization of a Liouville foliation with arbitrary topological Fomenko–Zieschang invariant (which is a graph with numerical marks) is discussed. In the class of billiard books, a foliation with arbitrary value of one integer mark (that corresponds to Euler class of one Seifert submanifold) was realized. 
@article{VMUMM_2020_4_a2,
     author = {V. V. Vedyushkina and V. A. Kibkalo},
     title = {Realization of numeri{\cyrs}al invariant of the {Siefert} bundle of integrable systems by billiards},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {22--28},
     publisher = {mathdoc},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a2/}
}
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V. V. Vedyushkina; V. A. Kibkalo. Realization of numeriсal invariant of the Siefert bundle of integrable systems by billiards. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2020), pp. 22-28. http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a2/