{"title":"辛泊松结构连接图和曲率图的Kontsevich权的计算","authors":"Nima Moshayedi, F. Musio","doi":"10.4310/atmp.2021.v25.n5.a5","DOIUrl":null,"url":null,"abstract":"We give an explicit computation of weights of Kontsevich graphs which arise from connection and curvature terms within the globalization picture for symplectic manifolds. Moreover, we consider the case of a cotangent bundle, which will simplify the curvature expression significantly.","PeriodicalId":50848,"journal":{"name":"Advances in Theoretical and Mathematical Physics","volume":"172 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2019-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computation of Kontsevich weights of connection and curvature graphs for symplectic Poisson structures\",\"authors\":\"Nima Moshayedi, F. Musio\",\"doi\":\"10.4310/atmp.2021.v25.n5.a5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give an explicit computation of weights of Kontsevich graphs which arise from connection and curvature terms within the globalization picture for symplectic manifolds. Moreover, we consider the case of a cotangent bundle, which will simplify the curvature expression significantly.\",\"PeriodicalId\":50848,\"journal\":{\"name\":\"Advances in Theoretical and Mathematical Physics\",\"volume\":\"172 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2019-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Theoretical and Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.4310/atmp.2021.v25.n5.a5\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.4310/atmp.2021.v25.n5.a5","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Computation of Kontsevich weights of connection and curvature graphs for symplectic Poisson structures
We give an explicit computation of weights of Kontsevich graphs which arise from connection and curvature terms within the globalization picture for symplectic manifolds. Moreover, we consider the case of a cotangent bundle, which will simplify the curvature expression significantly.
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Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.
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