Geodesic
Essential Surfaces in Graph Link Exteriors
Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 257-266

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DOI

An irreducible graph manifold $M$ contains an essential torus if it is not a special Seifert manifold. Whether $M$ contains a closed essential surface of negative Euler characteristic or not depends on the difference of Seifert fibrations from the two sides of a torus system which splits $M$ into Seifert manifolds. However, it is not easy to characterize geometrically the class of irreducible graph manifolds which contain such surfaces. This article studies this problem in the case of graph link exteriors.
DOI : 10.4153/CMB-2009-028-9
Mots-clés : 57M25, Graph link, Graph manifold, Seifert manifold, Essential surface 
Ikeda, Toru. Essential Surfaces in Graph Link Exteriors. Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 257-266. doi: 10.4153/CMB-2009-028-9
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     author = {Ikeda, Toru},
     title = {Essential {Surfaces} in {Graph} {Link} {Exteriors}},
     journal = {Canadian mathematical bulletin},
     pages = {257--266},
     year = {2009},
     volume = {52},
     number = {2},
     doi = {10.4153/CMB-2009-028-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-028-9/}
}
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