MORSE AREA AND SCHARLEMANN-THOMPSON WIDTH FOR HYPERBOLIC 3-MANIFOLDS

被引：2
|
作者：
Hoffoss, Diane [1 ]
Maher, Joseph [2 ,3 ]
机构：
[1] Univ San Diego, Dept Math & Comp Sci, 5998 Alcala Pk, San Diego, CA 92110 USA
[2] CUNY Coll Staten Isl, Dept Math, 2800 Victory Blvd, Staten Isl, NY 10314 USA
[3] CUNY Grad Ctr, 2800 Victory Blvd, Staten Isl, NY 10314 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2016年 / 281卷 / 01期
关键词：
hyperbolic; 3-manifold; Heegaard splitting; Morse function; Scharlemann-Thompson width; MINIMAL-SURFACES;
D O I：
10.2140/pjm.2016.281.83
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Scharlemann and Thompson define a numerical complexity for a 3-manifold using handle decompositions of the manifold. We show that for compact hyperbolic 3-manifolds, this is linearly related to a definition of metric complexity in terms of the areas of level sets of Morse functions.
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页码：83 / 102
页数：20
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