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Jan 21, 2015 at 23:43 history edited Dmitri Panov CC BY-SA 3.0
I was claiming that it is known that all symplectic 4-manifolds with negative Euler characteristics are blow ups of ruled surfaces. This is in fact an open question by Gompf.
Nov 8, 2012 at 0:56 vote accept Chris Gerig
Oct 28, 2012 at 15:46 history edited Dmitri Panov CC BY-SA 3.0
added 981 characters in body
Oct 28, 2012 at 15:08 comment added Dmitri Panov Mariano, it seems to me that this depends on weather you consider connected or disconnected surfaces :) ... For connected ones you are right of course. There might indeed be some probabilistic models...
Oct 28, 2012 at 5:23 comment added Mariano Suárez-Álvarez (Your argument for Q1 probably breaks when applied to «is the probability of a compact surface having positive Euler characteristic positive?»)
Oct 28, 2012 at 4:19 comment added Mariano Suárez-Álvarez It would be interesting to (make sense of the question and) figure out what the probability distribution of Euler characteristics is...
Oct 27, 2012 at 11:29 history answered Dmitri Panov CC BY-SA 3.0