{"title":"数学和物理中的超几何","authors":"M. Kapranov","doi":"10.1017/9781108854399.005","DOIUrl":null,"url":null,"abstract":"This is a chapter for a planned collective volume entitled \"New spaces in mathematics and physics\" (M. Anel, G. Catren Eds.). The first part contains a short formal exposition of supergeometry as it is understood by mathematicians. The second part discusses aspects of supergeometry that are used by physicists in relation to supersymmetry. Finally, the third part is an attempt to uncover homotopy-theoretic roots of the super formalism.","PeriodicalId":405735,"journal":{"name":"New Spaces in Physics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Supergeometry in Mathematics and Physics\",\"authors\":\"M. Kapranov\",\"doi\":\"10.1017/9781108854399.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is a chapter for a planned collective volume entitled \\\"New spaces in mathematics and physics\\\" (M. Anel, G. Catren Eds.). The first part contains a short formal exposition of supergeometry as it is understood by mathematicians. The second part discusses aspects of supergeometry that are used by physicists in relation to supersymmetry. Finally, the third part is an attempt to uncover homotopy-theoretic roots of the super formalism.\",\"PeriodicalId\":405735,\"journal\":{\"name\":\"New Spaces in Physics\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"New Spaces in Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/9781108854399.005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Spaces in Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108854399.005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
摘要
这是一个章节的计划集体卷题为“数学和物理的新空间”(M. Anel, G. Catren编辑)。第一部分包含了对数学家所理解的超几何的简短的正式阐述。第二部分讨论了物理学家在超对称方面使用的超几何。最后，第三部分是揭示超形式主义的同伦理论根源的尝试。
This is a chapter for a planned collective volume entitled "New spaces in mathematics and physics" (M. Anel, G. Catren Eds.). The first part contains a short formal exposition of supergeometry as it is understood by mathematicians. The second part discusses aspects of supergeometry that are used by physicists in relation to supersymmetry. Finally, the third part is an attempt to uncover homotopy-theoretic roots of the super formalism.
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