{"title":"Multiplicity free covering of a graded manifold","authors":"Elizaveta Vishnyakova","doi":"arxiv-2409.02211","DOIUrl":null,"url":null,"abstract":"We define and study a multiplicity free covering of a graded manifold. As an\napplication of our research we give a new conceptual proof of the theorem about\nequivalence of categories of graded manifolds and symmetric $n$-fold vector\nbundles.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-03","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-2409.02211","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 define and study a multiplicity free covering of a graded manifold. As an
application of our research we give a new conceptual proof of the theorem about
equivalence of categories of graded manifolds and symmetric $n$-fold vector
bundles.
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