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International Mathematics Research Notices (2000) 2000:107-113, doi:10.1155/S1073792800000076
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

L-Theory of 3-manifolds with nonvanishing first Betti number

Sayed K. Roushon

In this article, we prove that the surgery groups of the fundamental group of any 3-manifold with nonvanishing first Betti number can be computed in terms of a generalized homology theory. A consequence of this result is that the integral Novikov conjecture is true for the fundamental group of these manifolds.


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