Results in Mathematics, vol.77, no.4, 2022 (SCI-Expanded)
Article / Article
Results in Mathematics
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Lagrangian submanifolds, minimal Maslov number, weakly exact symplectic manifolds, Morse index, SUBMANIFOLDS, INDEX
Middle East Technical University Affiliated:
© 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.