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- W2912632813 abstract "Given $M_varphi$, a fibered 3-manifold with boundary, we show that the translation distance of the monodromy $varphi$ can be bounded above by the complexity of an essential surface with non-zero slope. Furthermore we prove that the minimal complexity of a surface with non-zero slope in $M_{varphi^n}$ tends to infinity as $ntoinfty$. Additionally, we show that an infinite family of fibered hyperbolic knots has translation distance bounded above by two, satisfying a conjecture by Schleimer which postulates that this behavior should hold for all fibered knots." @default.
- W2912632813 created "2019-02-21" @default.
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- W2912632813 date "2019-02-18" @default.
- W2912632813 modified "2023-09-26" @default.
- W2912632813 title "Translation distance bounds for fibered 3-manifolds with boundary" @default.
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