Compatible relative open books on relative contact pairs via generalized square bridge diagrams
Acta Mathematica Hungarica, vol.172, no.1, pp.80-118, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 172 Issue: 1
- Publication Date: 2024
- Doi Number: 10.1007/s10474-024-01402-5
- Journal Name: Acta Mathematica Hungarica
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet
- Page Numbers: pp.80-118
- Keywords: 57R65, 58A05, 58D27, contact structure, Legendrian, monodromy, open book, square bridge, surgery
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
Using square bridge position, Akbulut-Ozbagci and later Arikan gave algorithms both of which construct an explicit compatible open book decomposition on a closed contact 3-manifold which results from a contact (±1)-surgery on a Legendrian link in the standard contact 3-sphere. In this article, we introduce the “generalized square bridge position” for a Legendrian link in the standard contact 5-sphere and partially generalize this result to the dimension five via an algorithm which constructs relative open book decompositions on relative contact pairs.