Products of pairs of Dehn twists and maximal real Lefschetz fibrations

Abstract

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.

Final version accepted for publication

References in corpus (3)

• On deformation types of real elliptic surfaces
• Real elements in the mapping class group of $T^2$
• Hurwitz equivalence of braid monodromies and extremal elliptic surfaces

Cited by in corpus (1)

• A real open book not fillable by a real Lefschetz fibration