The chord conjecture for conormal bundles
Symplectic Geometry
2024-01-18 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.2401.08842,
title = {The chord conjecture for conormal bundles},
author = {Filip Broćić and Dylan Cant and Egor Shelukhin},
journal= {arXiv preprint arXiv:2401.08842},
year = {2024}
}
Comments
58 pages, 22 figures