We describe a combinatorial algorithm for constructing all orientable 3-manifolds with a given standard bidimensional spine by making use of the idea of bijoin (Bandieri and Gagliardi (1982), Graselli (1985)) over a suitable pseudosimplicial triangulation of the spine.
@article{urn:eudml:doc:43640, title = {3-manifold spines and bijoins.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {3}, year = {1990}, pages = {165-179}, zbl = {0780.57010}, mrnumber = {MR1081310}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43640} }
Grasselli, Luigi. 3-manifold spines and bijoins.. Revista Matemática de la Universidad Complutense de Madrid, Tome 3 (1990) pp. 165-179. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43640/