Handle decompositions and stabilizations of open books

Chun-Sheng Hsueh

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arXiv · 2505.19343

Handle decompositions and stabilizations of open books

Chun-Sheng Hsueh

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Abstract

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 $n \geq 3$. 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. 2025-05-25. Handle decompositions and stabilizations of open books. https://arxiv.org/abs/2505.19343

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