COMPATIBLE RELATIVE OPEN BOOKS ON RELATIVE CONTACT PAIRS VIA GENERALIZED SQUARE BRIDGE DIAGRAMS

Date

2024-8

Author

Taşpınar, İrem Özge

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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 thesis, we introduce the generalized square bridge position for a special class of Legendrian 2-links 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.

Subject Keywords

Contact Structure, Open Book, Legendrian, Square Bridge, Surgery

URI

https://hdl.handle.net/11511/110832

Collections

Graduate School of Natural and Applied Sciences, Thesis