Homological algebra of Novikov-Shubin invariants and Morse inequalities
| dc.creator | Farber, Michael | |
| dc.date | 1996-07-01 | |
| dc.date.accessioned | 2026-07-07T09:12:48Z | |
| dc.date.available | 2026-07-07T09:12:48Z | |
| dc.description | It is shown that the topological phenomenon "zero in the continuous spectrum", discovered by S.P.Novikov and M.A.Shubin, can be explained in terms of a homology theory on the category of finite polyhedra with values in certain abelian category. This approach implies homotopy invariance of the Novikov-Shubin invariants. Its main advantage is that it allows to use the standard homological techniques, such as spectral sequences, derived functors, universal coefficients etc., while studying the Novikov-Shubin invariants. It also leads to some new quantitative invariants, measuring the Novikov-Shubin phenomenon in a different way, which are used in order to strengthen the Morse type inequalities of Novikov and Shubin. | |
| dc.description | Amstex, 34 pages, to appear in GAFA | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9606013 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9606013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152146 | |
| dc.subject | Differential Geometry | |
| dc.title | Homological algebra of Novikov-Shubin invariants and Morse inequalities | |
| dc.type | text |