On the number of commensurable fibrations on a hyperbolic 3-manifold

被引：0

作者：

Masai, Hidetoshi ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2016年 / 25卷 / 05期

关键词：

Fibered commensurability; hyperbolic; 3-manifolds; fibered links; symmetry of manifolds;

D O I：

10.1142/S0218216516500280

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By the work of Thurston, it is known that if a hyperbolic fibered 3-manifold M has Betti number greater than 1, then M admits infinitely many distinct fibrations. For any fibration. on a hyperbolic 3-manifold M, the number of fibrations on M that are commensurable in the sense of Calegari-Sun-Wang to omega is known to be finite. In this paper, we prove that the number can be arbitrarily large.

引用

页数：6

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