{"title":"分级流形的无多重性覆盖","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":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":null,\"pages\":null},\"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}","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}
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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