Intersection numbers in the curve graph with a uniform constant

被引：3

作者：

Watanabe, Yohsuke ^{[1
]}

机构：

[1] Univ Hawaii Manoa, Dept Math, 2565 McCarthy Mall, Honolulu, HI 96822 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2016年 / 204卷

基金：

美国国家科学基金会;

关键词：

Curve complex; Intersection numbers; COMPLEX;

D O I：

10.1016/j.topol.2016.03.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive various inequalities involving the intersection number of the curves contained in geodesics and tight geodesics in the curve graph. While there already exist such inequalities on tight geodesics, our method applies in the setting of geodesics. Furthermore, the method gives inequalities with a uniform constant depending only on the topology of the surface. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：157 / 167

页数：11

共 50 条

[1] Small intersection numbers in the curve graph
Aougab, Tarik
Taylor, Samuel J.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 : 989 - 1002
[2] On uniform intersection numbers
Tsuchiya, M
ARS COMBINATORIA, 1998, 48 : 225 - 232
[3] Intersection numbers and the hyperbolicity of the curve conplex
Bowditch, Brian H.
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 598 : 105 - 129
[4] Connectivity of the uniform random intersection graph
Blackburn, Simon R.
Gerke, Stefanie
DISCRETE MATHEMATICS, 2009, 309 (16) : 5130 - 5140
[5] Uniform Lower Bound for Intersection Numbers of ψ-Classes
Delecroix, Vincent
Goujard, Elise
Zograf, Peter
Zorich, Anton
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020, 16
[6] Distance and intersection number in the curve graph of a surface
Birman, Joan S.
Morse, Matthew J.
Wrinkle, Nancy C.
GEOMETRIAE DEDICATA, 2021, 215 (01) : 161 - 189
[7] Algorithmic Aspects of the Intersection and Overlap Numbers of a Graph
Hermelin, Danny
Rizzi, Romeo
Vialette, Stephane
ALGORITHMS AND COMPUTATION, ISAAC 2012, 2012, 7676 : 465 - 474
[8] Distance and intersection number in the curve graph of a surface
Joan S. Birman
Matthew J. Morse
Nancy C. Wrinkle
Geometriae Dedicata, 2021, 215 : 161 - 189
[9] Intersection numbers in the curve complex via subsurface projections
Watanabe, Yohsuke
JOURNAL OF TOPOLOGY AND ANALYSIS, 2017, 9 (03) : 419 - 439
[10] INTERSECTION-NUMBERS FOR COHERENT CONFIGURATIONS AND THE SPECTRUM OF A GRAPH
WALTER, CD
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1983, 35 (02) : 201 - 204

← 1 2 3 4 5 →