Tokyo Journal of Mathematics
- Tokyo J. Math.
- Volume 24, Number 2 (2001), 395-405.
An Algorithm for Acylindrical Surfaces in 3-manifolds
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.
Tokyo J. Math., Volume 24, Number 2 (2001), 395-405.
First available in Project Euclid: 19 October 2009
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
TSUTSUMI, Yukihiro. An Algorithm for Acylindrical Surfaces in 3-manifolds. Tokyo J. Math. 24 (2001), no. 2, 395--405. doi:10.3836/tjm/1255958183. https://projecteuclid.org/euclid.tjm/1255958183