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May 28, 2022 at 0:52 comment added Ryan Budney @DmitriPanov: Small triangulated 4-manifolds appear to have much in common with small triangulated 3-manifolds. As is well known now, the tables of small triangulated 3-manifolds is dominated by manifolds that either fiber over surfaces or "Seifert fiber", which is a small step away from fibering. The same seems to be true for 4-manifolds: they largely either fiber over surfaces, or Seifert-fibre (in the sense of Massaki Ue).
Nov 28, 2012 at 10:42 comment added Dmitri Panov Ryan, I just saw your answer, this is interesting :) I would not expect that there is such a strong tendency to have positive Euler characteristics but one can never know... :)
Nov 1, 2012 at 18:26 comment added Ryan Budney Ben Burton and I generated the census using version 5.0 of Regina. That software isn't in general release yet but it will be soon. The core of the algorithm is the Rubinstein 3-sphere recognition algorithm, which Ben has done a lot of work on to make fairly efficient.
Nov 1, 2012 at 17:47 comment added Chris Gerig Just curious, what did you use for this?
Oct 30, 2012 at 2:54 history answered Ryan Budney CC BY-SA 3.0