Novikov - Shubin signatures, I

Details Novikov - Shubin signatures, I Novikov - Shubin signatures, I

1999-03-23

arxiv.org/abs/math/9903140v1

Mathematics

Differential Geometry

32 pages

Scientific paper

Torsion objects of von Neumann categories describe the phenomen "spectrum near zero" discovered by S. Novikov and M. Shubin. In this paper we classify Hermitian forms on torsion objects of a finite von Neumann category. We prove that any such form can be represented as a discriminant form of a degenerate Hermitian form on a projective module. We also find a relation between the Hermitian forms on projective modules which holds if and only if their discriminant forms are congruent. A notion of superfinite von Neumann category is introduced. It is proven that the classification of torsion Hermitian forms in a superfinite category can be completely reduced to the isomorphisn types of their positive and negative parts.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-342359