CONSTRUCTING CONVEX PLANES IN THE PANTS COMPLEX

被引：6

作者：

Aramayona, Javier ^{[1
]}

Parlier, Hugo ^{[2
]}

Shackleton, Kenneth J. ^{[3
]}

机构：

[1] Natl Univ Ireland, Dept Math, Galway, Ireland

[2] Ecole Polytech Fed Lausanne, Inst Geometry Algebra & Topol, CH-1015 Lausanne, Switzerland

[3] Univ Tokyo, IPMU, Kashiwa, Chiba 2778568, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 10期

关键词：

Pants complex; Weil-Petersson metric; TEICHMULLER SPACE; GEOMETRY;

D O I：

10.1090/S0002-9939-09-09907-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, referred to as the pants graph, each isomorphic to the product of two Farey graphs. We deduce the existence of many convex planes in the pants graph of any surface of complexity at least 3.

引用

页码：3523 / 3531

页数：9

共 13 条

[1]

Aramayona J, 2008, MATH RES LETT, V15, P309

[2]

BEHRSTOCK JA, MATH ANNALE IN PRESS

[3] Curvature and rank of Teichmuller space [J].