The eta-form and a generalized Maslov index

U. Bunke; H. Koch

The eta-form and a generalized Maslov index

dg-ga 2008-02-03 v1 Differential Geometry

Authors: U. Bunke , H. Koch

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.

Keywords

minimal annuli total curvature Nitsche's conjecture finite topology properly embedded minimal surfaces

Cite

@article{arxiv.dg-ga/9701004,
  title  = {The eta-form and a generalized Maslov index},
  author = {U. Bunke and H. Koch},
  journal= {arXiv preprint arXiv:dg-ga/9701004},
  year   = {2008}
}

Comments

24 pages, Latex

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