ON FIBERED COMMENSURABILITY

被引：8
|
作者：
Calegari, Danny [1 ]
Sun, Hongbin [2 ]
Wang, Shicheng [3 ]
机构：
[1] CALTECH, Dept Math, Pasadena, CA 91125 USA
[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 250卷 / 02期
关键词：
commensurability; fibration; 3-manifold; mapping class group; DIFFEOMORPHISMS;
D O I：
10.2140/pjm.2011.250.287
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper initiates a systematic study of the relation of commensurability of surface automorphisms, or equivalently, fibered commensurability of 3-manifolds fibering over S(1). We show that every hyperbolic fibered commensurability class contains a unique minimal element. The situation for toroidal manifolds is more complicated, and we illustrate a range of phenomena that can occur in this context.
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页码：287 / 317
页数：31
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