Dylan Cant

English · Français · 中文

The chord conjecture for conormal bundles

Filip Broćić、Dylan Cant、Egor Shelukhin

2024年01月。发表于 Math. Ann. 392 (2025), 3959–4021

摘要：

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.

链接：

• PDF
• arXiv:2401.08842
• 期刊版本（Math. Ann.）
• BibTeX

  @article{chord-conjecture,
    author        = {Filip Broćić and Dylan Cant and Egor Shelukhin},
    title         = {The chord conjecture for conormal bundles},
    journal       = {Math. Ann.},
    year          = {2025},
    volume        = {392},
    number        = {3},
    pages         = {3959--4021},
    doi           = {10.1007/s00208-025-03171-0},
    eprint        = {2401.08842},
    archivePrefix = {arXiv},
    primaryClass  = {math.SG},
  }