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The chord conjecture for conormal bundles

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arxiv 2401.08842 v1 pith:O3JNEGYJ submitted 2024-01-16 math.SG math.DG

Filip Broćić , Dylan Cant , Egor Shelukhin This is my paper · ORCID
classification math.SGmath.DG
keywords bundleschordclosedconjectureconormalsubmanifoldsarnolcoefficients
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We prove Arnol'd's chord conjecture for all Legendrian submanifolds of cosphere bundles of closed manifolds isotopic to conormal bundles of closed submanifolds. Our method of proof involves an isomorphism between wrapped Floer cohomology and the homology of a path space with coefficients in a local system and a twisted version of the Hurewicz theorem.

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  1. Bi-normal trajectories in the Circular Restricted Three-Body Problem

    math.SG 2024-12 conditional novelty 6.0 of 10

    This note reduces an existence question about bi-normal orbits in the spatial three-body problem to wrapped Floer homology, yielding a conditional proof that relies on an unverified twist assumption.

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