Lectures on Witten Helffer Sjöstrand Theory
| dc.creator | Burghelea, Dan | |
| dc.date | 1998-07-02 | |
| dc.date | 1998-07-29 | |
| dc.date.accessioned | 2026-07-07T05:25:15Z | |
| dc.date.available | 2026-07-07T05:25:15Z | |
| dc.description | Witten- Helffer-Sjöstrand theory is a considerable addition to the De Rham- Hodge theory for Riemannian manifolds and can serve as a general tool to prove results about comparison of numerical invariants associated to compact manifolds analytically, i.e. by using a Riemannian metric, or combinatorially, i.e by using a triangulation. In this presentation a triangulation, or a partition of a smooth manifold in cells, will be viewed in a more analytic spirit, being provided by the stable manifolds of the gradient of a nice Morse function. WHS theory was recently used both for providing new proofs for known but difficult results in topology, as well as new results and a positive solution for an important conjecture about $L_2-$torsion, cf [BFKM]. This presentation is a short version of a one quarter course I have given during the spring of 1997 at OSU. | |
| dc.description | 17 pages, AMStex, minor grammar corrections | |
| dc.identifier | https://arxiv.org/abs/math/9807008 | |
| dc.identifier | http://arxiv.org/abs/math/9807008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77111 | |
| dc.subject | Differential Geometry | |
| dc.subject | 57R70, 58A5,12, 58C35,40 58F19, 58Q15 | |
| dc.title | Lectures on Witten Helffer Sjöstrand Theory | |
| dc.type | text |