Commentarii Mathematici Helvetici


Full-Text PDF (234 KB) | Metadata | Table of Contents | CMH summary
Volume 81, Issue 4, 2006, pp. 727–753
DOI: 10.4171/CMH/71

Published online: 2006-12-31

An algorithm to find vertical tori in small Seifert fiber spaces

Tao Li[1]

(1) Boston College, Chestnut Hill, United States

We give an algorithm to find vertical essential tori in small Seifert fiber spaces with infinite fundamental group. This implies that there are algorithms to decide whether a 3-manifold is a Seifert fiber space.

Keywords: Algorithm, 3-manifold, Seifert fiber space, immersed surface

Li Tao: An algorithm to find vertical tori in small Seifert fiber spaces. Comment. Math. Helv. 81 (2006), 727-753. doi: 10.4171/CMH/71