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

共 50 条

[1] Tubes in hyperbolic 3-manifolds
Przeworski, A
TOPOLOGY AND ITS APPLICATIONS, 2003, 128 (2-3) : 103 - 122
[2] Primitive stable closed hyperbolic 3-manifolds
Kim, Inkang
Lecuire, Cyril
Ohshika, Ken'ichi
TOPOLOGY AND ITS APPLICATIONS, 2014, 172 : 68 - 71
[3] Verified Computations for Hyperbolic 3-Manifolds
Hoffman, Neil
Ichihara, Kazuhiro
Kashiwagi, Masahide
Masai, Hidetoshi
Oishi, Shin'ichi
Takayasu, Akitoshi
EXPERIMENTAL MATHEMATICS, 2016, 25 (01) : 66 - 78
[4] QUASICONVEXITY OF BANDS IN HYPERBOLIC 3-MANIFOLDS
Bowditch, Brian H.
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 96 (02) : 167 - 185
[5] Cusp densities of hyperbolic 3-manifolds
Adams, C
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2002, 45 : 277 - 284
[6] Laminar free hyperbolic 3-manifolds
Fenley, Sergio R.
COMMENTARII MATHEMATICI HELVETICI, 2007, 82 (02) : 247 - 321
[7] VIRTUAL FIBERS IN HYPERBOLIC 3-MANIFOLDS
SOMA, T
TOPOLOGY AND ITS APPLICATIONS, 1991, 41 (03) : 179 - 192
[8] Hyperbolic 3-manifolds in the 2000's
Gabai, David
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, 2010, : 960 - 972
[9] Mom technology and volumes of hyperbolic 3-manifolds
Gabai, David
Meyerhoff, Robert
Milley, Peter
COMMENTARII MATHEMATICI HELVETICI, 2011, 86 (01) : 145 - 188
[10] On the prime geodesic theorem for hyperbolic 3-manifolds
Avdispahic, Muharem
MATHEMATISCHE NACHRICHTEN, 2018, 291 (14-15) : 2160 - 2167

← 1 2 3 4 5 →