Novikov - Shubin signatures, I
| dc.creator | Farber, Michael | |
| dc.date | 1999-03-23 | |
| dc.date.accessioned | 2026-07-07T05:28:27Z | |
| dc.date.available | 2026-07-07T05:28:27Z | |
| dc.description | 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. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/9903140 | |
| dc.identifier | http://arxiv.org/abs/math/9903140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78262 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.title | Novikov - Shubin signatures, I | |
| dc.type | text |