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Aug 25, 2014 at 15:24 comment added Daniele Zuddas @ThiKu : I gave a look at Ivanov's survey, but it consider this particular case with rational coefficinets. As in Andy's answer, the integral second homology of $\mathrm{Mod}_3$ has been computed recently by Sakasai. Anyway, thank you for your comment!
Aug 25, 2014 at 11:43 vote accept Daniele Zuddas
Aug 24, 2014 at 13:44 comment added Andy Putman @ThiKu : while I think that Ivanov's survey is great, it is pretty dated at this point (eg it predates Madsen-Weiss).
Aug 24, 2014 at 13:42 answer added Andy Putman timeline score: 11
Aug 24, 2014 at 6:02 comment added ThiKu Did you have a look at Chapter 12 of sciencedirect.com/science/book/9780444824325 (Ivanov's survey on mapping class groups)? I don't have a copy right now, so can not check, but usually the book contains everything one would like to know about the homology of mapping class groups.
Aug 24, 2014 at 3:46 history asked Daniele Zuddas CC BY-SA 3.0