Universität zu Köln

Friedl, Stefan and Suciu, Alexander I. (2014). Kahler groups, quasi-projective groups and 3-manifold groups. J. Lond. Math. Soc.-Second Ser., 89. S. 151 - 169. HOBOKEN: WILEY. ISSN 1469-7750

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Abstract

We prove two results relating 3-manifold groups to fundamental groups occurring in complex geometry. Let N be a compact, connected, orientable 3-manifold. If N has non-empty, toroidal boundary and pi(1)(N) is a Kahler group, then N is the product of a torus with an interval. On the other hand, if N has either empty or toroidal boundary, and pi(1)(N) is a quasi-projective group, then all the prime components of N are graph manifolds.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Friedl, Stefan UNSPECIFIED UNSPECIFIED UNSPECIFIED Suciu, Alexander I. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-446859
DOI:	10.1112/jlms/jdt051
Journal or Publication Title:	J. Lond. Math. Soc.-Second Ser.
Volume:	89
Page Range:	S. 151 - 169
Date:	2014
Publisher:	WILEY
Place of Publication:	HOBOKEN
ISSN:	1469-7750
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CHARACTERISTIC VARIETIES; FUNDAMENTAL-GROUPS; MANIFOLDS; GEOMETRY; TOPOLOGY Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/44685