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Analysis reveals new open book structures in manifolds with trivial monodromy, suggesting novel stabilization methods.
We build handle decompositions of n-manifolds that encode given open book decompositions and describe handle slides that reveal new open book decompositions on the same underlying manifold, for n ≥ 3. This recovers known stabilization operations for open books. As an application, we show that any open book with trivial monodromy can be stabilized to an open book whose page is a boundary connected sum of trivial disk bundles over spheres.
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Chun-Sheng Hsueh (2025) studied this question.
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