{"title":"Indecomposable $K_1$ classes on a Surface and Membrane Integrals","authors":"Xi Chen, James D. Lewis, G. Pearlstein","doi":"10.5802/crmath.69","DOIUrl":null,"url":null,"abstract":"Let X be a projective algebraic surface. We recall the K -group K (2) 1,ind(X ) of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes. Résumé. Soit X une surface algébrique projective. Nous rappelons le groupe K , K (2) 1,ind(X ) indécomposables et apporter la preuve que les intégrales membranaires sont suffisantes pour détecter ces classes indécomposables. 2020 Mathematics Subject Classification. 14C25, 14C30, 14C35. Funding. X. Chen and J. D. Lewis partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada. Manuscript received 9th December 2019, accepted 7th May 2020.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/crmath.69","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
Let X be a projective algebraic surface. We recall the K -group K (2) 1,ind(X ) of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes. Résumé. Soit X une surface algébrique projective. Nous rappelons le groupe K , K (2) 1,ind(X ) indécomposables et apporter la preuve que les intégrales membranaires sont suffisantes pour détecter ces classes indécomposables. 2020 Mathematics Subject Classification. 14C25, 14C30, 14C35. Funding. X. Chen and J. D. Lewis partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada. Manuscript received 9th December 2019, accepted 7th May 2020.
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