非联合支持哈密顿量谱不变量的一个极大不等式

IF 0.6 3区数学 Q3 MATHEMATICS Journal of Symplectic Geometry Pub Date : 2021-02-15 DOI:10.4310/jsg.2022.v20.n5.a6

Shira Tanny

{"title":"非联合支持哈密顿量谱不变量的一个极大不等式","authors":"Shira Tanny","doi":"10.4310/jsg.2022.v20.n5.a6","DOIUrl":null,"url":null,"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.","PeriodicalId":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":"39 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2021-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A max inequality for spectral invariants of disjointly supported Hamiltonians\",\"authors\":\"Shira Tanny\",\"doi\":\"10.4310/jsg.2022.v20.n5.a6\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":50029,\"journal\":{\"name\":\"Journal of Symplectic Geometry\",\"volume\":\"39 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2021-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Symplectic Geometry\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/jsg.2022.v20.n5.a6\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Symplectic Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/jsg.2022.v20.n5.a6","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.

期刊最新文献

Legendrian torus and cable links Contactomorphisms of the sphere without translated points Unobstructed embeddings in Hirzebruch surfaces Multiplicative gray stability Spectral convergence in geometric quantization — the case of non-singular Langrangian fibrations