Products of pairs of Dehn twists and maximal real Lefschetz fibrations
  We address the problem of existence and uniqueness of a factorization of a given element of the modular group into a product of two Dehn twists. As a geometric application, we conclude that any maximal real elliptic Lefschetz fibration is algebraic. 
Alex Degtyarev, Nermin Salepci
math.AG