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arxiv: math/0609592 · v1 · submitted 2006-09-21 · 🧮 math.GT

Legendrian graphs and quasipositive diagrams

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keywords diagramsquasipositiveconcerninggraphslegendrianrelationshipsurfacesalternative
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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 the 3-sphere. We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.

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