Geodesic
A simple proof of the “geometric fractional monodromy theorem”
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2013), pp. 53-57 Cet article a éte moissonné depuis la source Math-Net.Ru

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We present a simple proof of the “Geometric fractional monodromy theorem” (Broer–Efstathiou–Lukina 2010). The fractional monodromy of a Liouville integrable Hamiltonian system over a loop $\gamma\subset \mathbb{R}^2$ is a generalization of the classic monodromy to the case when the Liouville foliation has singularities over $\gamma$. The “Geometric fractional monodromy theorem” finds, up to an integral parameter, the fractional monodromy of systems similar to the $1:(-2)$ resonance system. A handy equivalent definition of fractional monodromy is presented in terms of homology groups for our proof. 
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D. I. Tonkonog. A simple proof of the “geometric fractional monodromy theorem”. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2013), pp. 53-57. http://geodesic.mathdoc.fr/item/VMUMM_2013_2_a11/

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