{"title":"特殊的拉格朗日裤子","authors":"Yang Li","doi":"10.1002/cpa.22248","DOIUrl":null,"url":null,"abstract":"<p>We construct special Lagrangian pair of pants in general dimensions, inside the cotangent bundle of <span></span><math>\n <semantics>\n <msup>\n <mi>T</mi>\n <mi>n</mi>\n </msup>\n <annotation>$T^n$</annotation>\n </semantics></math> with the Euclidean structure, building upon earlier topological ideas of Matessi. The construction uses a combination of PDE and geometric measure theory.</p>","PeriodicalId":10601,"journal":{"name":"Communications on Pure and Applied Mathematics","volume":"78 7","pages":"1320-1356"},"PeriodicalIF":3.1000,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Special Lagrangian pair of pants\",\"authors\":\"Yang Li\",\"doi\":\"10.1002/cpa.22248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We construct special Lagrangian pair of pants in general dimensions, inside the cotangent bundle of <span></span><math>\\n <semantics>\\n <msup>\\n <mi>T</mi>\\n <mi>n</mi>\\n </msup>\\n <annotation>$T^n$</annotation>\\n </semantics></math> with the Euclidean structure, building upon earlier topological ideas of Matessi. The construction uses a combination of PDE and geometric measure theory.</p>\",\"PeriodicalId\":10601,\"journal\":{\"name\":\"Communications on Pure and Applied Mathematics\",\"volume\":\"78 7\",\"pages\":\"1320-1356\"},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2025-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications on Pure and Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/cpa.22248\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications on Pure and Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/cpa.22248","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
We construct special Lagrangian pair of pants in general dimensions, inside the cotangent bundle of with the Euclidean structure, building upon earlier topological ideas of Matessi. The construction uses a combination of PDE and geometric measure theory.