An L$^{2}$-Cheeger Müller theorem on compact manifolds with boundary
Abstract:
We generalize a Cheeger–Müller type theorem for flat, unitary bundles on infinite covering spaces over manifolds with boundary, proven by Burghelea, Friedlander and Kappeller. Employing recent anomaly results by Brüning, Ma and Zhang, we prove an analogous statement for a general flat bundle that is only required to have a unimodular restriction to the boundary.
| Zugehörige Institution(en) am KIT | Fakultät für Mathematik (MATH) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 1259-1734, 2118-7436 KITopen-ID: 1000143516 |
| Erschienen in | Annales Mathematiques Blaise Pascal |
| Verlag | Laboratoire de Mathématiques Pures / Université Blaise Pascal de Clermont-Ferrand |
| Band | 28 |
| Heft | 1 |
| Seiten | 71-116 |
| Nachgewiesen in | OpenAlex Dimensions Scopus |