Fixed points for positive permutation braids
Fundamenta Mathematicae 216 (2012), 129-146 MSC: Primary 20F36; Secondary 37E15. DOI: 10.4064/fm216-2-4
Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.