{"title":"Contact non-squeezing in lens spaces","authors":"Pierre-Alexandre Arlove","doi":"arxiv-2409.10334","DOIUrl":null,"url":null,"abstract":"We describe some contact non-squeezing phenomena in lens spaces by defining\nand computing a contact capacity. This contact capacity comes from the spectral\nselectors constructed by Allais, Sandon and the author by the means of\ngenerating functions and Givental's non-linear Maslov index. We also discuss a\npotential generalization of these non-squeezing phenomena for orderable closed\nprequantizations.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","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-2409.10334","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We describe some contact non-squeezing phenomena in lens spaces by defining
and computing a contact capacity. This contact capacity comes from the spectral
selectors constructed by Allais, Sandon and the author by the means of
generating functions and Givental's non-linear Maslov index. We also discuss a
potential generalization of these non-squeezing phenomena for orderable closed
prequantizations.
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