Positive factorizations of symmetric mapping classes
  We study Question 7.9 in the paper "Monoids in the mapping class group" by Etnyre and Van Horn-Morris; whether a symmetric mapping class admitting a positive factorization is a lift of a quasi-positive braid. We answer affirmatively for mapping classes satisfying certain cyclic conditions. 
Tetsuya Ito and Keiko Kawamuro
math.GT