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• W1878156875 abstract "Assume that we are given a closed chord-generic Legendrian submanifold $Lambda subset P times mathbb R$ of the contactisation of a Liouville manifold, where $Lambda$ moreover admits an exact Lagrangian filling $L_{Lambda} subset mathbb R times P times mathbb R$ inside the symplectisation. Under the further assumptions that this filling is spin and has vanishing Maslov class, we prove that the number of Reeb chords on $Lambda$ is bounded from below by the stable Morse number of $L_{Lambda}$. Given a general exact Lagrangian filling $L_{Lambda}$, we show that the number of Reeb chords is bounded from below by a quantity depending on the homotopy type of $L_{Lambda}$, following Ono-Pajitnov's implementation in Floer homology of invariants due to Sharko. This improves previously known bounds in terms of the Betti numbers of either $Lambda$ or $L_{Lambda}$." @default.
• W1878156875 created "2016-06-24" @default.
• W1878156875 creator A5001112248 @default.
• W1878156875 creator A5085157132 @default.
• W1878156875 date "2015-10-29" @default.
• W1878156875 modified "2023-09-27" @default.
• W1878156875 title "The stable Morse number as a lower bound for the number of Reeb chords" @default.
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