✦ LIBER ✦

An anomaly formula for Ray–Singer metrics on manifolds with boundary

✍ Scribed by Jochen Brüning; Xiaonan Ma

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 89 KB
Volume: 335
Category: Article
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(02)02496-2

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✦ Synopsis

We establish an anomaly formula for Ray-Singer metrics defined by a Hermitian metric on a flat vector bundle over a Riemannian manifold with boundary. We do not assume that the Hermitian metric on the flat vector bundle is flat, nor that the Riemannian metric has product structure near the boundary.