Geodesic
The algorithm of finding planar surfaces in three-manifolds
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 197-202

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By a slope in the boundary $\partial M$ of a 3-manifold, we mean the isotopy class $\alpha$ of a finite set of disjoint simple closed curves in $\partial M$ which are nontrivial and pairwise nonparallel. In this paper, we construct an algorithm to decide whether or not a given orientable 3-manifold $M$ contains an essential planar surface whose boundary has a given slope $\alpha$. 
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     author = {E. A. Sbrodova},
     title = {The algorithm of finding planar surfaces in three-manifolds},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {197--202},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a14/}
}
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E. A. Sbrodova. The algorithm of finding planar surfaces in three-manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 197-202. http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a14/