Morse-Novikov critical point theory, Cohn localization and Dirichlet units
| dc.creator | Farber, M. | |
| dc.date | 1999-11-20 | |
| dc.date.accessioned | 2026-07-07T05:31:43Z | |
| dc.date.available | 2026-07-07T05:31:43Z | |
| dc.description | In this paper we construct a Universal chain complex, counting zeros of closed 1-forms on a manifold. The Universal complex is a refinement of the well known Novikov complex; it relates the homotopy type of the manifold, after a suitable noncommutative localization, with the numbers of zeros of different indices which may have closed 1-forms within a given cohomology class. The Main Theorem of the paper generalizes the result of a joint paper with A. Ranicki, which treats the special case of closed 1-forms having integral cohomology classes. The present paper also describes a number of new inequalities, giving topological lower bounds on the number of zeroes of closed 1-forms. In particular, such estimates are provided by the homology of flat line bundles with monodromy described by complex numbers which are not Dirichlet units. | |
| dc.identifier | https://arxiv.org/abs/math/9911157 | |
| dc.identifier | http://arxiv.org/abs/math/9911157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79449 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57Q10 | |
| dc.title | Morse-Novikov critical point theory, Cohn localization and Dirichlet units | |
| dc.type | text |