{"title":"刘维尔极化及其拉格朗日骨架在 4$ 维的刚性","authors":"Emmanuel Opshtein, Felix Schlenk","doi":"arxiv-2407.09408","DOIUrl":null,"url":null,"abstract":"The main theme of this paper is the introduction of a new type of\npolarizations, suited for some open symplectic manifolds, and their\napplications. These applications include symplectic embedding results that\nanswer a question by Sackel-Song-Varolgunes-Zhu and Brendel, new Lagrangian\nnon-removable intersections at small scales, and a novel phenomenon of\nLegendrian barriers in contact geometry.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$\",\"authors\":\"Emmanuel Opshtein, Felix Schlenk\",\"doi\":\"arxiv-2407.09408\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main theme of this paper is the introduction of a new type of\\npolarizations, suited for some open symplectic manifolds, and their\\napplications. These applications include symplectic embedding results that\\nanswer a question by Sackel-Song-Varolgunes-Zhu and Brendel, new Lagrangian\\nnon-removable intersections at small scales, and a novel phenomenon of\\nLegendrian barriers in contact geometry.\",\"PeriodicalId\":501155,\"journal\":{\"name\":\"arXiv - MATH - Symplectic Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Symplectic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.09408\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Symplectic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.09408","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$
The main theme of this paper is the introduction of a new type of
polarizations, suited for some open symplectic manifolds, and their
applications. These applications include symplectic embedding results that
answer a question by Sackel-Song-Varolgunes-Zhu and Brendel, new Lagrangian
non-removable intersections at small scales, and a novel phenomenon of
Legendrian barriers in contact geometry.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
