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

Date

2022-08-01

Author

Şirikçi, Nil İpek

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© 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.

Subject Keywords

Lagrangian submanifolds, minimal Maslov number, Morse index, weakly exact symplectic manifolds

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85133655078&origin=inward
https://hdl.handle.net/11511/98335

Journal

Results in Mathematics

DOI

https://doi.org/10.1007/s00025-022-01714-4

Collections

Department of Economics, Article

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Citation Formats

N. İ. Şirikçi, “A Minimal Maslov Number Condition for Displaceability in Certain Weakly Exact Symplectic Manifolds,” Results in Mathematics, vol. 77, no. 4, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85133655078&origin=inward.