Classification of torus fibrations over S 2 up to fibre sum stabilisation
Abstract
We study torus fibrations over the 2 -sphere and Hurwitz equivalence of their monodromies. We show that, if two torus fibrations over S 2 have the same type of singularities, then their global monodromies are Hurwitz equivalent after performing direct sums with a certain torus Lefschetz fibration. The additional torus Lefschetz fibration is universal when the type of singularities is “simple”.
Fields of Study & Subjects
Geometric and Algebraic Topology
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Publication details
- Journal / source
- Annales de la faculté des sciences de Toulouse Mathématiques
- Volume
- 35
- Issue
- 1
- Pages
- 137–222
- Publication date
- 13 January 2026
- Language
- EN