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Classification of Torus Fibrations Over $S^2$ Up to Fibre Sum Stabilisation (2304.09562v2)
Published 19 Apr 2023 in math.GT and math.GR
Abstract: We study torus fibrations over the 2-sphere and Hurwitz equivalence of their monodromies. We show that, if two torus fibrations over $S2$ have the same type of singularities, then their global monodromies are Hurwitz equivalent after performing direct sums with certain torus Lefschetz fibrations. The additional torus Lefschetz fibration is universal when the type of singularities is "simple".
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