On the relative Giroux correspondence

Details On the relative Giroux correspondence On the relative Giroux correspondence

2008-02-06

arxiv.org/abs/0802.0810v2

Low-dimensional and symplectic topology, 65-78, Proceedings of Symposia in Pure Mathematics, 82, American Mathematical Society

Mathematics

Geometric Topology

17 pages, 8 figures, used to be part of arxiv:0711.0880

Scientific paper

Recently, Honda, Kazez and Matic described an adapted partial open book 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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