On the eta-invariant of certain nonlocal boundary value problems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Motivated by the work of Vishik on the analytic torsion we introduce a new class of generalized Atiyah-Patodi-Singer boundary value problems. We are able to derive a full heat expansion for this class of operators generalizing earlier work of Grubb and Seeley. As an application we give another proof of the gluing formula for the eta invariant. Our class of boundary conditions contains as special cases the usual (nonlocal) Atiyah-Patodi-Singer boundary value problems as well as the (local) relative and absolute boundary conditions for the Gauss-Bonnet operator.
LaTeX, 35 pages, final version as of 14 Nov 1997, to appear in Duke Math. J

Keywords

Differential Geometry, 58G (Primary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/148774

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9609001
 http://arxiv.org/abs/dg-ga/9609001
 Duke Math. J. 96 (1999), 425-468

Collections

arXiv