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arXiv · 2102.07487

A max inequality for spectral invariants of disjointly supported Hamiltonians

Shira Tanny
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Abstract

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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Shira Tanny. 2021-02-15. A max inequality for spectral invariants of disjointly supported Hamiltonians. https://arxiv.org/abs/2102.07487

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