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arXiv · 1711.10532

Bounds for tentacular Hamiltonians

F. Pasquotto·J. Wiśniewska
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Abstract

This paper represents a first step towards the extension of the definition of Rabinowitz Floer homology to non-compact energy hypersurfaces in exact symplectic manifolds. More concretely, we study under which conditions it is possible to establish $L^{\infty}$-bounds for the Floer trajectories of a Hamiltonian with non-compact energy levels. Moreover, we introduce a class of Hamiltonians, called tentacular Hamiltonians, which satisfy the conditions: how to define RFH for these examples will be the subject of a follow-up paper.

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F. Pasquotto, J. Wiśniewska. 2020-06-22. Bounds for tentacular Hamiltonians. https://doi.org/10.1142/s179352531950047x

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