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.

引用

页码：83 / 102

页数：20

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