Title:
Mild Intro to 'topological states' of quantum lattice systems

Abstract:
I will give some very elementary facts on the topic of the title.  
Probably I will explain the 'Kitaev' model and/or the AKLT model, and  
perhaps I say something on nonabelian statistics and entanglement  
entropy.

The interest in 'topological states' is mainly because they seem to be  
outside the usual classification of states or 'phases' based on Landau  
theory, where phases are described by local order parameters.

I might try to connect or contrast these phenomena to another  
characterization of non-locality that was introduced in mathematical  
statistical mechanics, namely Gibbs and Non-Gibbs properties.