The chord conjecture for conormal bundles
- 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.
| Author: | Filip BroćićORCiDGND, Dylan Cant, Egor Shelukhin |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/118989 |
| Parent Title (English): | arXiv |
| Publisher: | arXiv |
| Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 2025/02/11 |
| Year of first Publication: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/02/11 |
| First Page: | arXiv:2401.08842 |
| DOI: | https://doi.org/10.48550/arXiv.2401.08842 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Analysis und Geometrie | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Latest Publications (not yet published in print): | Aktuelle Publikationen (noch nicht gedruckt erschienen) |
