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Legendrian graphs and quasipositive diagrams

Sebastian BaaderMasaharu Ishikawa — 2009

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper we clarify the relationship between ribbon surfaces of Legendrian graphs and quasipositive diagrams by using certain fence diagrams. As an application, we give an alternative proof of a theorem concerning a relationship between quasipositive fiber surfaces and contact structures on S 3 . We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.

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