Geodesic
Realization of Fomenko-Zieschang invariants in closed symplectic manifolds with contact singularities
Sbornik. Mathematics, Tome 213 (2022) no. 4, pp. 443-465 Cet article a éte moissonné depuis la source Math-Net.Ru

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The topological bifurcations of Liouville foliations on invariant $3$-manifolds that are induced by attaching toric $\Theta$-handles are investigated. It is shown that each marked molecule (Fomenko-Zieschang invariant) can be realized on an invariant submanifold of a closed symplectic manifold with contact singularities which is obtained by attaching toric $\Theta$-handles sequentially to a set of symplectic manifolds, while these latter have the structures of locally trivial fibrations over $S^1$ associated with atoms. Bibliography: 10 titles.
Keywords: contact singularity, marked molecule, theta handle.
Mots-clés : Fomenko-Zieschang invariant 
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D. B. Zot'ev; V. I. Sidel'nikov. Realization of Fomenko-Zieschang invariants in closed symplectic manifolds with contact singularities. Sbornik. Mathematics, Tome 213 (2022) no. 4, pp. 443-465. http://geodesic.mathdoc.fr/item/SM_2022_213_4_a0/

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