{"title":"A Solution to the Periodic Square Peg Problem","authors":"Cole Hugelmeyer","doi":"arxiv-2407.20412","DOIUrl":null,"url":null,"abstract":"We resolve the periodic square peg problem using a simple Lagrangian Floer\nhomology argument. Inscribed squares are interpreted as intersections between\ntwo non-displaceable Lagrangian sub-manifolds of a symplectic 4-torus.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":"124 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-29","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-2407.20412","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 resolve the periodic square peg problem using a simple Lagrangian Floer
homology argument. Inscribed squares are interpreted as intersections between
two non-displaceable Lagrangian sub-manifolds of a symplectic 4-torus.
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