{"title":"Torelli Locus and Rigidity","authors":"Sai-Kee Yeung","doi":"10.1307/mmj/20217207","DOIUrl":null,"url":null,"abstract":". The goal of the paper is to explain a harmonic map approach to two geometric problems related to the Torelli map. The first is related to the existence of totally geodesic submanifolds in the image of the Torelli map, and the second is on rigidity of representation of a lattice of a semi-simple Lie group in a mapping class group.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"38 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Michigan Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1307/mmj/20217207","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
. The goal of the paper is to explain a harmonic map approach to two geometric problems related to the Torelli map. The first is related to the existence of totally geodesic submanifolds in the image of the Torelli map, and the second is on rigidity of representation of a lattice of a semi-simple Lie group in a mapping class group.
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