It is well-known that the actions of several diffeomorphism groups of geometric interest do not admit momentum maps. I will present an extension of the classical momentum map which exists for such actions and has the crucial Noether property. In addition, this extended momentum map, which has values in differential characters, captures topological information, something the classical momentum map cannot do. In order to focus the presentation, the Teichmüller space will serve as the example of this theory. The talk is based on joint work with Tobias Diez from TU Delft.