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Ko Honda:The Giroux Correspondence in Arbitrary Dimensions
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https://www.youtube.com/watch?v=ndbevPJNxGk 美国普林斯顿高等研究院 Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Seminar site:http://www.math.tau.ac.il/~sarabt/zoominar/ Topic: The Giroux Correspondence in Arbitrary Dimensions Speaker: Ko Honda Affiliation: University of California, Los Angeles Date: March 22, 2024 Around twenty years ago Emmanuel Giroux formulated the equivalence of contact structures and open book decompositions with Weinstein pages up to stabilization. We establish the Giroux correspondence in full generality using the recent developments in convex hypersurface theory. This is joint work with Joe Breen and Yang Huang. Joseph Breen, Ko Honda, Yang Huang——《The Giroux correspondence in arbitrary dimensions》:https://doi.org/10.48550/arXiv.2307.02317 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.
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