Fueling CulturePub Date : 2020-12-31DOI: 10.2307/j.ctt1hfr0s3.4
Brittany Kopman
{"title":"“Infinite”","authors":"Brittany Kopman","doi":"10.2307/j.ctt1hfr0s3.4","DOIUrl":"https://doi.org/10.2307/j.ctt1hfr0s3.4","url":null,"abstract":". Let S be a smooth projective surface. Using correspondences, we construct an infinite dimensional Lie algebra that acts on the direct sum of the cohomology groups of the incidence Hilbert schemes S [ m,m +1] . The algebra is related to an extension of an infinite dimensional Heisenberg algebra. The space e H S is a highest weight representation of this algebra. Our result provides a representation-theoretic interpretation of Cheah’s generating function of Betti numbers of the incidence Hilbert schemes. As a consequence, an additive basis of H ∗ ( S [ m,m +1] ) is obtained.","PeriodicalId":373777,"journal":{"name":"Fueling Culture","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128779654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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