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On the growth rate of leaf-wise intersections

On the growth rate of leaf-wise intersections

We define a new variant of Rabinowitz Floer homology that is particularly well suited to studying the growth rate of leaf-wise intersections.We prove that for closed manifolds M whose loop space ΛM is "complicated", if Σ ⊆ T * M is a non-degenerate fibrewise starshaped hypersurface and ϕ ∈ Ham …