Embedded incompressible surfaces and homology of ramified coverings of three-manifolds
type: Item
instance of: scholarly article
title: Embedded incompressible surfaces and homology of ramified coverings of three-manifolds
zbMATH Open document ID: 0946.57020
published in: Selecta Mathematica. New Series
publication date: 2000-08-08T00:00:00Z
review text: The paper is concerned with incompressible surfaces in and homology of ramified coverings of closed 3-manifolds. It is proven that, roughly, all ramified coverings of a surgery manifold contain an embedded incompressible surface provided that the surgery parameters are big enough. The quasi-Fuchsian group technique is essentially used. Also the 3-manifold class field theory, developed by the author in [Sel. Math., New Ser. 3, No. 3, 361-399 (1997; Zbl 0892.57012)], is extended to the case of ramified coverings of 3-manifolds.
reviewed by: Andrei Vesnin
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 1486239
author: Alexander G. Reznikov
MaRDI profile type: Publication
full work available at URL: s000290050001
OpenAlex ID: W2039076747
DOI: 10.1007/S000290050001
description: scientific article; zbMATH DE number 1486239