2023/03/15 by I. Ozge Taspinar, Taspinar, I. Ozge, M. Firat Arikan +1
Engineering · Mathematics · #57R65 #58A05 #58D27 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2303.08603
openalex publication_date 2023/03/15 · openalex created_date 2023/03/18 · openalex updated_date 2026/07/28
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.