getting started in good order is difficult---reminds me of trying to furl sail in a high wind: there is a lot of subject-matter and it keeps flapping and getting out of hand----need to tie things down bit by bit The two Ashtekar-Lewandowski 1994 papers seem to be basic in fact Sahlmann refers to them and treats them that way. I put off printing out the longer of the two A-L papers until yesterday because it just seemed so long (68 pages) but I finally gave in and printed it. Somehow it seems like we can understand and describe the core of the subject and what is going on if we can understand the main content in general terms of these two papers plus the recent (2003) ones: A-L 1994 papers: "Projective Techniques...." http://arxiv.org/gr-qc/9411046 "Differential Geometry..." http://arxiv.org/gr-qc/9412073 I will add links to recent papers by Sahlmann and others later. I want to be able to say in general terms what is happening in these papers and nail down the analogy with the Stone-vonNeumann theorem and the historical development of quantum mechanics. They are quantizing General Relativity and it should reveal something about what is essential in quantizing classical theories.