A note on the topology of the complements of fiber-type line arrangements in \(\mathbb C\mathbb P^2\)
The authors show that the classifying space \(BDiff_+(S^2,\{x_1,\dots,x_n\})\) is a \(K(\pi,1)\) space, with \(\pi\) is the mapping class group of an \(n\)-punctured sphere. This implies in particular that the center-projecting braid monodromy of a fiber-type line arrangement determines the diffeomorphism type of its complement.
scientific article; zbMATH DE number 5900526