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May 3, 2012 at 4:20 comment added Sean Tilson @Oscar: I think the k-theory computation isn't too hard. It is easy enough to do the computation for connective K-theory (real or complex) for the particular example of $MTSO(2)$. You can use an Adams SS for example. I think Johannes Ebert has another method to do the computation though.
Aug 19, 2010 at 1:40 comment added Sean Tilson Kevin, I would not worry too much about the h-principle stuff. I think Oscar's comment about the h-principle may be a way to think of $\alpha$ if you are already familiar with the h-principle. I could be completely wrong though.
Jan 22, 2010 at 20:23 vote accept Kevin H. Lin
Jan 22, 2010 at 20:23 history bounty ended Kevin H. Lin
Jan 10, 2010 at 17:40 comment added Joel Fine @Kevin Lin, the book "An Introduction to the h-principle" by Eliashberg and Mishachev is excellent for learning about the h-principle in general, although it doesn't discuss the Mumford conjecture.
Jan 10, 2010 at 17:26 comment added Kevin H. Lin Thanks for your remarks! But sorry, I am not familiar with Gromov's h-principle?
Jan 10, 2010 at 15:44 history answered Oscar Randal-Williams CC BY-SA 2.5