非联合支持哈密顿量谱不变量的一个极大不等式

Pub Date : 2021-02-15 DOI:10.4310/jsg.2022.v20.n5.a6

Shira Tanny

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引用次数: 3

摘要

研究了非联合支持哈密顿算子的谱不变量与其和的关系。在非球面流形上，Humili ' ere、Le Roux和Seyfaddini建立了这种关系。我们证明了一个较弱的命题在更广泛的情况下成立，并推导了Polterovich的泊松括号不变量以及Entov和Polterovich的超重集概念的应用。

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A max inequality for spectral invariants of disjointly supported Hamiltonians

We study the relation between spectral invariants of disjointly supported Hamiltonians and of their sum. On aspherical manifolds, such a relation was established by Humili\`ere, Le Roux and Seyfaddini. We show that a weaker statement holds in a wider setting, and derive applications to Polterovich's Poisson bracket invariant and to Entov and Polterovich's notion of superheavy sets.

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