Novikov - Shubin signatures, II

Details Novikov - Shubin signatures, II Novikov - Shubin signatures, II

2000-06-15

arxiv.org/abs/math/0006108v1

Mathematics

Differential Geometry

31 pages, 1 figure. To appear in "Annals of Global Analysis and Geometry"

Scientific paper

This paper continues math.DG/9903140. Here we construct a linking form on the torsion part of middle dimensional extended L^2 homology and cohomology of odd-dimensional manifolds. We give a geometric necessary condition when this linking form is hyperbolic. We compute this linking form in case when the manifold bounds. We introduce and study new numerical invariants of the linking form: the Novikov - Shubin signature and the torsion signature. We compute these invariants explicitly for manifolds with $\pi_1 = Z$ in terms of the Blanchfield form. We develop a notion of excess for extensions of torsion modules and show how this concept can be used to guarantee vanishing of the torsion signature.

Affiliated with

Also associated with

No associations

Rating

Novikov - Shubin signatures, II 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 Novikov - Shubin signatures, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Novikov - Shubin signatures, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-547645