Work

Classification of torus fibrations over S 2 up to fibre sum stabilisation

Year: 2026

Type: article

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”.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1843

Author: Yibo Zhang

Institutions: Institut Fourier, Université Grenoble Alpes

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7123345309

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Cites: 24

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