Vanishing structure set of Haken 3-manifolds

Authors
Citation
Sk. Roushon, Vanishing structure set of Haken 3-manifolds, MATH ANNAL, 318(3), 2000, pp. 609-620
Citations number
18
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ANNALEN
ISSN journal
00255831 → ACNP
Volume
318
Issue
3
Year of publication
2000
Pages
609 - 620
Database
ISI
SICI code
0025-5831(200011)318:3<609:VSSOH3>2.0.ZU;2-Y
Abstract
In this article we prove that the surgery groups of the fundamental group o f a certain class of Haken 3-manifolds can be computed in terms of a genera lized homology theory even if the manifolds do not support any nonpositivel y curved Riemannian metric. A consequence of this result is that the integr al Novikov conjecture is true for the fundamental group of this class of ma nifolds.