An ${L}^{2}$-Cheeger Müller theorem on compact manifolds with boundary
Annales mathématiques Blaise Pascal, Volume 28 (2021) no. 1, pp. 71-116.

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.

Published online:
DOI: 10.5802/ambp.400
Benjamin Waßermann 1

1 Karlsruher Institut für Technologie Fakultät für Mathematik Institut für Algebra und Geometrie Englerstr. 2 Mathebau (20.30) 76131 Karlsruhe Germany
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Benjamin Waßermann. An $L^2$-Cheeger Müller theorem on compact manifolds with boundary. Annales mathématiques Blaise Pascal, Volume 28 (2021) no. 1, pp. 71-116. doi : 10.5802/ambp.400. https://ambp.centre-mersenne.org/articles/10.5802/ambp.400/

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