Anyone who has been following this blog knows that the last few months and years have seen a bewildering amount of progress in what we know about 3-manifolds, and particularly their fundamental groups. Matthias Aschenbrenner, Stefan Friedl and I have recently posted a survey paper on the arXiv, the aim of which is to summarise these recent developments and state, as definitively as possible, what we currently know about 3-manifold groups.
It’s a dauntingly large subject, and there are inevitably many errors and omissions. No doubt we will need to produce an updated version soon. For this reason, we actively encourage comments. We’re particularly keen to hear about mistakes or misattributions, but even if we’ve just omitted your favourite paper (even if you wrote it yourself!) please do drop us a line and let us know. We’d love to hear from you.