Handle decompositions and stabilizations of open books

2025/05/25 by Chun-Sheng Hsueh, Hsueh, Chun-Sheng · 3 citations
Computer Science · #FOS: Mathematics #Geometric Topology (math.GT) #Open Education and E-Learning

paper · pdf · doi:10.48550/arxiv.2505.19343

openalex publication_date 2025/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ≥ 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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