Holomorphic Morse inequalities on covering manifolds
| dc.creator | Todor, Radu | |
| dc.creator | Chiose, Ionuţ | |
| dc.date | 1998-02-23 | |
| dc.date | 1998-02-24 | |
| dc.date.accessioned | 2026-07-07T05:23:56Z | |
| dc.date.available | 2026-07-07T05:23:56Z | |
| dc.description | The goal of this paper is to generalize Demailly's asymptotic holomorphic Morse inequalities to the case of a covering manifold of a compact manifold. We shall obtain estimates which involve Atiyah's ``normalized dimension'' of the square integrable harmonic spaces. The techniques used are those of Shubin who gave a proof for the usual Morse inequalities in the presence of a group action relying on Witten ideas. As a consequence we obtain estimates for the dimension of the square integrable holomorphic sections of the pull-back of a line bundle on the base manifold under some mild hypothesis for the curvature. | |
| dc.description | 9 pages, Latex2e; see also preprint MS-98-003 at http://www.maths.ed.ac.uk/ preprints/; corrected typos, a reference added | |
| dc.identifier | https://arxiv.org/abs/math/9802110 | |
| dc.identifier | http://arxiv.org/abs/math/9802110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76640 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M99;32L10 | |
| dc.title | Holomorphic Morse inequalities on covering manifolds | |
| dc.type | text |