Handle decompositions and stabilizations of open books
Geometric Topology
2025-05-27 v1
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 . 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.
Keywords
Cite
@article{arxiv.2505.19343,
title = {Handle decompositions and stabilizations of open books},
author = {Chun-Sheng Hsueh},
journal= {arXiv preprint arXiv:2505.19343},
year = {2025}
}
Comments
19 pages, 10 figures