An Algorithm for Acylindrical Surfaces in 3-manifolds

TSUTSUMI, Yukihiro

Tokyo J. of Math., Tome 24 (2001) no. 2, p. 395-405 / Harvested from Project Euclid

Résumé

An algorithm to decide if an orientable atoroidal 3-manifold contains closed incompressible acylindrical surfaces, and construct closed incompressible acylindrical surfaces is given. Mainly, the normal surface theory is used. To assure that the algorithm stops after finite steps, we show that each acylindrical surface is isotopic to some ``edge surface'' which is constructible.

Publié le : 2001-12-15
Classification:

@article{1255958183,
     author = {TSUTSUMI, Yukihiro},
     title = {An Algorithm for Acylindrical Surfaces in 3-manifolds},
     journal = {Tokyo J. of Math.},
     volume = {24},
     number = {2},
     year = {2001},
     pages = { 395-405},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255958183}
}

TSUTSUMI, Yukihiro. An Algorithm for Acylindrical Surfaces in 3-manifolds. Tokyo J. of Math., Tome 24 (2001) no. 2, pp.  395-405. http://gdmltest.u-ga.fr/item/1255958183/