An L²-Cheeger Müller theorem on compact manifolds-with-boundary

2020/04/17 by Waßermann, Benjamin
#37D15 #57Q10 #58J52 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.08367

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 arXiv:dg-ga/9510010 [math.DG]. 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.

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