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May 4, 2020 at 17:10 comment added Hollis Williams In algebraic geometry vanishing theorems (ie. theorems to show conditions for vanishing of sheaf cohomology groups) are useful to compute invariants, is there some particular application to showing conditions under which cohomology of the braid groups always vanishes for coefficients in a particular ring ie. what would the wider use of a 'vanishing theorem' in this case?
Oct 15, 2017 at 18:10 comment added Andy Putman @JarekKędra: Sorry, I don't know much about the cohomology of $[B_n,B_n]$. Indeed, I don't even know what kind of finiteness properties it has, though I'm sure this must be in the literature somewhere.
Oct 15, 2017 at 10:15 comment added Jarek Kędra Hi Andy, thank you for a very nice answer. What is the situation for the commutator subgroup $[B_n,B_n]$?
Oct 15, 2017 at 9:11 vote accept Jarek Kędra
Oct 14, 2017 at 16:03 history answered Andy Putman CC BY-SA 3.0