Geodesic
An L 2 -Cheeger Müller theorem on compact manifolds with boundary
Waßermann, Benjamin1
1 Karlsruher Institut für Technologie Fakultät für Mathematik Institut für Algebra und Geometrie Englerstr. 2 Mathebau (20.30) 76131 Karlsruhe Germany
Annales mathématiques Blaise Pascal, Tome 28 (2021) no. 1, pp. 71-116 Cet article a éte moissonné depuis la source Numdam

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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.

Publié le :
DOI : 10.5802/ambp.400

Waßermann, Benjamin 1

1 Karlsruher Institut für Technologie Fakultät für Mathematik Institut für Algebra und Geometrie Englerstr. 2 Mathebau (20.30) 76131 Karlsruhe Germany
Licence : CC-BY 4.0
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     title = {An $L^2${-Cheeger} {M\"uller} theorem on compact manifolds with boundary},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {71--116},
     year = {2021},
     publisher = {Universit\'e Clermont Auvergne, Laboratoire de math\'ematiques Blaise Pascal},
     volume = {28},
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     doi = {10.5802/ambp.400},
     language = {en},
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Waßermann, Benjamin. An $L^2$-Cheeger Müller theorem on compact manifolds with boundary. Annales mathématiques Blaise Pascal, Tome 28 (2021) no. 1, pp. 71-116. doi: 10.5802/ambp.400

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