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- W2022143050 abstract "This paper studies Heegaard splittings of surface bundles via the curve complex of the fibre. The translation distance of the monodromy is the smallest distance it moves any vertex of the curve complex. We prove that the translation distance is bounded above in terms of the genus of any strongly irreducible Heegaard splitting. As a consequence, if a splitting surface has small genus compared to the translation distance of the monodromy, the splitting is standard." @default.
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- W2022143050 modified "2023-09-23" @default.
- W2022143050 title "Surface bundles versus Heegaard splittings" @default.
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