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Apr 14, 2011 at 20:10 comment added André Henriques One major issue in trying to compare the Bott-Virasoro story to the Liouville story is that the former doesn't make sense for annuli with non-zero thickness, while the latter doesn't make sense for annuli with zero thickness. Does your projective structure story bridge that gap? I have the feeling that your answer is entirely at the Lie algebra level... The last paragraph is interesting though: could you elaborate what you mean by it?
Apr 14, 2011 at 18:42 history answered David Ben-Zvi CC BY-SA 3.0