The Giroux correspondence in arbitrary dimensions
Symplectic Geometry
2024-06-28 v2
Abstract
We establish the Giroux correspondence in arbitrary dimensions. As corollaries we (i) give an alternate proof of a result of Giroux-Pardon that states that any Weinstein domain is Weinstein homotopic to one which admits a Weinstein Lefschetz fibration and (ii) prove that any two Weinstein Lefschetz fibrations whose Weinstein domain structures are Weinstein homotopic are related by the Weinstein Lefschetz fibration moves, affirming a conjecture of Giroux-Pardon.
Cite
@article{arxiv.2307.02317,
title = {The Giroux correspondence in arbitrary dimensions},
author = {Joseph Breen and Ko Honda and Yang Huang},
journal= {arXiv preprint arXiv:2307.02317},
year = {2024}
}
Comments
v2: 68 pages; added Remark 1.1.12, labels to some figures, and a missing case in Proposition 4.1.7 and proof of Theorem 3.1.1; statement of Lemma 4.2.1 strengthened and proof rewritten accordingly