Jochen Bruening, Vladimir Geyler, Igor Lobanov
Spectral properties of gauge-periodic Schrodinger 
operators on graphs decorated by Riemannian manifolds
(18K, AMS-TeX)

ABSTRACT.  Gauge-periodic Schrodinger operators 
on periodic graphs decorated by compact Riemannian manifolds are 
considered. Results concerning the dependence of the spectral 
structure of such operators on properties of the periodicity group 
are announced.