Open AccessAn algorithm to find vertical tori in small Seifert fiber spaces
Author(s) -
Tao Li
Publication year - 2006
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/71
Subject(s) - mathematics , torus , fiber , space (punctuation) , manifold (fluid mechanics) , group (periodic table) , algorithm , combinatorics , geometry , computer science , composite material , mechanical engineering , materials science , engineering , operating system , chemistry , organic chemistry
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.
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