Kirby diagrams of 4-dimensional open books
Geometric Topology
2025-06-16 v2
Abstract
We provide an algorithm for constructing a Kirby diagram of a 4-dimensional open book given a Heegaard diagram of the page. As an application, we show that an open book constructed with arbitrary page and trivial monodromy is diffeomorphic to an open book constructed with a punctured handlebody as page and a composition of torus twists and sphere twists as monodromy.
Keywords
Cite
@article{arxiv.2306.16942,
title = {Kirby diagrams of 4-dimensional open books},
author = {Chun-Sheng Hsueh},
journal= {arXiv preprint arXiv:2306.16942},
year = {2025}
}
Comments
27 pages, 38 figures; V2: Some clarifications, and modifications following a referee report. Final version, accepted for publication in Proceedings of the Edinburgh Mathematical Society