{"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}
引用次数: 11
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.
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