Geodesic
Multibranched surfaces in $3$-manifolds
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXI, Tome 498 (2020), pp. 135-156

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This article is a survey of recent works on embeddings of multibranched surfaces into $3$-manifolds. 
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     author = {M. Ozawa},
     title = {Multibranched surfaces in $3$-manifolds},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {135--156},
     publisher = {mathdoc},
     volume = {498},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_498_a9/}
}
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M. Ozawa. Multibranched surfaces in $3$-manifolds. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXI, Tome 498 (2020), pp. 135-156. http://geodesic.mathdoc.fr/item/ZNSL_2020_498_a9/