PreprintCC0arXiv
Existence of Reeb Chords from the Generation-Criteria
Abstract
We give some existence results of Reeb chords using the generation−criteria of the Fukaya category. In particular, for n≥3, we construct a Legendrian ℓ'⊂ S*𝕋n such that every closed spin Legendrian ℓ⊂ S*𝕋n either admits a self-Reeb chord or a Reeb chord joining it to ℓ'.
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BibTeX
@misc{rabah2026existence,
title = {{Existence of Reeb Chords from the Generation-Criteria}},
author = {Mohamad Rabah},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29885},
eprint = {2608.29885},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29885},
note = {CC0},
}
RIS
TY - UNPB
TI - Existence of Reeb Chords from the Generation-Criteria
AU - Mohamad Rabah
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29885
UR - https://arxiv.org/abs/2608.29885
AB - We give some existence results of Reeb chords using the generation−criteria of the Fukaya category. In particular, for n≥3, we construct a Legendrian ℓ'⊂ S^*𝕋^n such that every closed spin Legendrian ℓ⊂ S^*𝕋^n either admits a self-Reeb chord or a Reeb chord joining it to ℓ'.
ER -