A Minimal Maslov Number Condition for Displaceability in Certain Weakly Exact Symplectic Manifolds

ŞİRİKÇİ N. İ.

Results in Mathematics, cilt.77, sa.4, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s00025-022-01714-4
  • Dergi Adı: Results in Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Lagrangian submanifolds, minimal Maslov number, weakly exact symplectic manifolds, Morse index, SUBMANIFOLDS, INDEX
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.We present a proof of a result which gives an upper bound for the minimal Maslov number of a displaceable n-dimensional Lagrangian submanifold in a weakly exact symplectic manifold with minimal Chern number at least n. The proof utilizes a result on the Conley-Zehnder index of a periodic orbit of the flow of a specifically constructed Floer Hamiltonian and an index relation.