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The Giroux Correspondence in dimension 3

The Giroux Correspondence in dimension 3

In an earlier paper, the authors proved the Giroux Correspondence for tight contact $3$-manifolds via convex Heegaard surfaces. Simultaneously, Breen, Honda and Huang gave an all-dimensions proof of the Giroux Correspondence by generalising convex surface theory to higher dimensions. This paper uses a key result about relations of bypasses to …