Homotopy invariance of higher signatures and 3-manifold groups

Details Homotopy invariance of higher signatures and 3-manifold groups Homotopy invariance of higher signatures and 3-manifold groups

2004-12-18

arxiv.org/abs/math/0412363v1

Mathematics

Algebraic Topology

13 pages

Scientific paper

For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable 3-manifolds, including the ``piecewise geometric'' ones in the sense of Thurston. In particular, this class, that will be carefully described, is the class of all orientable 3-manifolds if the Thurston Geometrization Conjecture is true. In fact, for this type of groups, we show that the Baum-Connes Conjecture With Coefficients holds. The non-oriented case is also discussed.

Affiliated with

Also associated with

No associations

Rating

Homotopy invariance of higher signatures and 3-manifold groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homotopy invariance of higher signatures and 3-manifold groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homotopy invariance of higher signatures and 3-manifold groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-332649