Geodesic
Homeomorphisms of the circle and a~foliation
Izvestiya. Mathematics , Tome 24 (1985) no. 3, pp. 553-566.

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This paper studies Novikov components of smooth codimension-1 foliations on compact manifolds with fundamental groups which have nontrivial center. Special cases of such manifolds are discussed – Seifert fibrations and closed complements of toral knots. The basic results are given as theorems about the existence of compact leaves. Bibliography: 16 titles. 
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V. V. Solodov. Homeomorphisms of the circle and a~foliation. Izvestiya. Mathematics , Tome 24 (1985) no. 3, pp. 553-566. http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a5/

[1] Novikov S. P., “Topologiya sloenii”, Trudy Mosk. matem. ob-va, 14, 1965, 248–278 | MR | Zbl

[2] Solodov V. V., “O sloeniyakh na mnogoobraziyakh so spetsialnoi fundamentalnoi gruppoi”, Uspekhi matem. nauk, 36:3 (1981), 225–226 | MR | Zbl

[3] Solodov V. V., “O sloeniyakh na mnogoobraziyakh, fundamentalnaya gruppa kotorykh imeet netrivialnyi tsentr, 2”, Uspekhi matem. nauk, 36:6 (1981), 229–230 | MR | Zbl

[4] Solodov V. V., “O sloeniyakh na mnogoobraziyakh, fundamentalnaya gruppa kotorykh imeet netrivialnyi tsentr, 1”, Voprosy teorii grupp i gomologicheskoi algebry, Yaroslavl, 1981, 154–156 | MR | Zbl

[5] Solodov V. V., “Gomeomorfizmy pryamoi i sloeniya”, Izvestiya AN SSSR. Ser. matem., 46:5 (1982), 1047–1061 | MR | Zbl

[6] Tamura I., Topologiya sloenii, Mir, M., 1979 | MR | Zbl

[7] Eisenbud D., Hirsch U., Neuman W., “Transverse foliations for of Seifert bundles and self homeomorphisms of the circles”, Comment. Math. Helvetici, 56:4 (1981), 638–660 | DOI | MR | Zbl

[8] Hector G., “Feuilletages en cylindres”, Lect. Notes Math., 597, 1977, 252–270 | MR | Zbl

[9] Jaco W. H., Shalen P. B., “Seifert fibrations in 3-manifolds”, Memoires of Amer. Math. Soc., 21, no. 220, 1979 | MR

[10] Kopell N., “Commuting diffeomorphisms”, Global Analysis, Proc. Symp. Pure Math., XIV, 1970, 165–184 | MR

[11] Levitt G., “Feuilletages des variétés de dimension 3 que sont fibrées en cercles”, Comment. Math. Helvetici, 53:3 (1978), 572–594 | DOI | MR | Zbl

[12] Lyndon R. C., Ullmann J. L., “Groups generated by two parabolic linea fraction transformations”, Canadian J. of Math., 21:6 (1969), 1388–1403 | MR | Zbl

[13] Nishimory T., “Compact leaves with Abelian holonomy”, Tohoku Math. J., 27:2 (1975), 255–273 | MR

[14] Orlik P., “Seifert Manifolds”, Lect. Notes in Math., 291, 1972 | MR | Zbl

[15] Sacksteder R., “Foliations and pseudo-groups”, Amer. J. Math., 87:1 (1965), 79–102 | DOI | MR | Zbl

[16] Wood J. W., “Bundles with totally disconnected structure group”, Com. Math. Helv., 46:2 (1971), 257–279 | DOI | MR