带边界紧流形的l2 -Cheeger m ller定理

Q4 Mathematics Annales Mathematiques Blaise Pascal Pub Date : 2020-04-17 DOI:10.5802/ambp.400

B. Wassermann

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引用次数: 2

摘要

我们推广了Burghelea，Friedlander和Kappeller-arXiv:dg-ga/9510010[math.dg]证明的带边界流形上无限覆盖空间上的平酉丛的Cheeger-Muller型定理。利用Bruning，Ma和Zhang最近的异常结果，我们证明了一般平丛的类似陈述，该一般平丛只需要对边界有幺模限制。

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An L 2 -Cheeger Müller theorem on compact manifolds with boundary

We generalize a Cheeger-Muller 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 Bruning, 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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