{"title":"沿(−1，−1)-曲线膨胀下的Gromov-Witten不变量","authors":"Hua-Zhong Ke","doi":"10.1307/MMJ/1596700816","DOIUrl":null,"url":null,"abstract":"For blow-ups of threefolds along ( − 1 , − 1 ) -curves, we use the degeneration formula and the absolute/relative correspondence to obtain some closed blow-up formulae for Gromov–Witten invariants and generalized BPS numbers.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"23 1","pages":"515-531"},"PeriodicalIF":0.8000,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Gromov–Witten Invariants Under Blow-Ups Along ( − 1 , − 1 ) -Curves\",\"authors\":\"Hua-Zhong Ke\",\"doi\":\"10.1307/MMJ/1596700816\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For blow-ups of threefolds along ( − 1 , − 1 ) -curves, we use the degeneration formula and the absolute/relative correspondence to obtain some closed blow-up formulae for Gromov–Witten invariants and generalized BPS numbers.\",\"PeriodicalId\":49820,\"journal\":{\"name\":\"Michigan Mathematical Journal\",\"volume\":\"23 1\",\"pages\":\"515-531\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2020-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Michigan Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1307/MMJ/1596700816\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Michigan Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1307/MMJ/1596700816","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Gromov–Witten Invariants Under Blow-Ups Along ( − 1 , − 1 ) -Curves
For blow-ups of threefolds along ( − 1 , − 1 ) -curves, we use the degeneration formula and the absolute/relative correspondence to obtain some closed blow-up formulae for Gromov–Witten invariants and generalized BPS numbers.
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