Recognition of being fibered for compact 3–manifolds

IF 2 1区数学

Geometry & Topology Pub Date : 2020-03-25 DOI:10.2140/gt.2020.24.409

A. Jaikin-Zapirain

引用次数: 20

Abstract

Let M be a compact orientable 3-manifold. We show that if the profinite completion of π1(M) is isomorphic to the profinite completion of a free-by-cyclic group or to the profinite completion of a surface-by-cyclic group, then M fibers over the circle with compact fiber.

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紧凑型歧管的纤维化识别

设M是紧致可定向的3流形。证明了π1(M)的无限补齐与自由环群的无限补齐或表面环群的无限补齐是同构的，则在圆上有紧纤维的M条纤维。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.