On the eta-invariant of certain nonlocal boundary value problems

Details On the eta-invariant of certain nonlocal boundary value problems On the eta-invariant of certain nonlocal boundary value problems

1996-09-04

arxiv.org/abs/dg-ga/9609001v2

Duke Math. J. 96 (1999), 425-468

Mathematics

Differential Geometry

LaTeX, 35 pages, final version as of 14 Nov 1997, to appear in Duke Math. J

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the eta-invariant of certain nonlocal boundary value problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the eta-invariant of certain nonlocal boundary value problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the eta-invariant of certain nonlocal boundary value problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321459