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On the relative Giroux correspondence

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Recently, Honda, Kazez and Matic described an adapted partial open book decomposition of a compact contact 3-manifold with convex boundary by generalizing the work of Giroux in the closed case. They also implicitly established a one-to-one correspondence between isomorphism classes of partial open book decompositions modulo positive stabilization and isomorphism classes of compact contact 3-manifolds with convex boundary. In this expository article we explicate the relative version of Giroux correspondence.

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Amer Mathematical Soc

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Mathematics

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Low-Dimensional and Symplectic Topology

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