{"title":"Shifted cotangent stacks are shifted symplectic","authors":"D. Calaque","doi":"10.5802/afst.1593","DOIUrl":null,"url":null,"abstract":"We prove that shifted cotangent stacks carry a canonical shifted symplectic structure. We also prove that shifted conormal stacks carry a canonical Lagrangian structure. These results were believed to be true but no written proof was available in the Artin case.","PeriodicalId":122059,"journal":{"name":"Annales de la faculté des sciences de Toulouse Mathématiques","volume":"137 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"26","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales de la faculté des sciences de Toulouse Mathématiques","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/afst.1593","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 26
Abstract
We prove that shifted cotangent stacks carry a canonical shifted symplectic structure. We also prove that shifted conormal stacks carry a canonical Lagrangian structure. These results were believed to be true but no written proof was available in the Artin case.
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