Almost all strongly quasipositive braid closures are fibered

We use the Birman–Ko–Lee presentation of braid group to show that all closures strongly quasipositive braids whose normal form contains a positive power dual Garside element [Formula: see text] are fibered. classify links which admit such representative in geometric terms as boundaries plumbings Hopf bands disk. Rudolph constructed fibered words on certain generating sets and we prove Rudolph’s condition is equivalent ours. Finally, index strict upper bound for number crossing changes required fiber braid.