The eta-form and a generalized Maslov index

1997/01/13 by Ulrich Bunke, U. Bunke, H. Koch +3 · 1 citation
Materials Science · Mathematics · #Advanced Operator Algebra Research #Magnetism in coordination complexes #Spectral Theory in Mathematical Physics #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9701004

24 pages, Latex

arxiv created 1997/01/13 · arxiv updated 2009/11/30

Abstract

We consider families of Dirac operators on the unit interval which depend on parameters via boundary conditions. We study the associated eta forms and Maslov cocyles. With this simple example we show how previous results of Lesch/Woiciechowski and the first author on the eta invariant of cylinders generalize to the family case.

Cited by

• Index theory, eta forms, and Deligne cohomology

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