ABSTRACT
We consider holomorphic families of Riemann surfaces which are constructed from Kodaira surfaces. Our chief interest is to classify elements of the monodromy group of such a holomorphic family of Riemann surfaces, i.e., surface automorphisms f C on a fiber induced under deformation of markings along closed curves C of the base surface. We will show that the Nielsen-Thurston-Bers type of f C is described in terms of C. The problem considered, and the form of the solution are suggested by Kra's beautiful theorem on the classification of some self-maps of Riemann surfaces (see Kra [5]). In this note, we report results on the case of an example of a Kodaira surface due to Riera. Proofs will appear elsewhere.
