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Elementary SFT Spectral Gaps And The Strong Closing Property

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arxiv 2312.17211 v1 pith:4GI6VF4A submitted 2023-12-28 math.SG math.DS

Julian Chaidez , Shira Tanny This is my paper
classification math.SGmath.DS
keywords closingpropertystrongclasscriteriadimensionelementaryinvariants
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We formulate elementary SFT spectral invariants of a large class of symplectic cobordisms and stable Hamiltonian manifolds, in any dimension. We give criteria for the strong closing property using these invariants, and verify these criteria for Hofer near periodic systems. This extends the class of symplectic dynamical systems in any dimension that satisfy the strong closing property.

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  1. Elementary spectral invariants and three-dimensional Reeb dynamics

    math.SG 2026-05 unverdicted novelty 3.0 of 10

    Elementary spectral invariants simplify embedded contact homology spectral invariants for contact three-manifolds and can be used to prove some results on periodic orbits of Reeb vector fields, with the remaining resu...

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