An algorithm to determine the Heegaard genus of a 3-manifold

被引：10
|
作者：
Li, Tao [1 ]
机构：
[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA
来源：
GEOMETRY & TOPOLOGY | 2011年 / 15卷 / 02期
基金：
美国国家科学基金会;
关键词：
MEASURED LAMINATIONS; BRANCHED SURFACES; HAKEN; 3-MANIFOLDS; SPLITTINGS; SPACES;
D O I：
10.2140/gt.2011.15.1029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an algorithmic proof of the theorem that a closed orientable irreducible and atoroidal 3-manifold has only finitely many Heegaard splittings in each genus, up to isotopy. The proof gives an algorithm to determine the Heegaard genus of an atoroidal 3-manifold.
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页码：1029 / 1106
页数：78
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