{"title":"接触3流形的填充拓扑","authors":"B. Ozbagci","doi":"10.2140/GTM.2015.19.73","DOIUrl":null,"url":null,"abstract":"Definition 1.2 An almost-complex structure on an even-dimensional manifold X is a complex structure on its tangent bundle TX , or equivalently a bundle map J W TX ! TX with J iJ D idTX . The pair .X;J / is called an almost complex manifold. It is called a complex manifold if the almost complex structure is integrable, meaning that J is induced via multiplication by i in any holomorphic coordinate chart.","PeriodicalId":115248,"journal":{"name":"Geometry and Topology Monographs","volume":"292 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"On the topology of fillings of contact 3-manifolds\",\"authors\":\"B. Ozbagci\",\"doi\":\"10.2140/GTM.2015.19.73\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Definition 1.2 An almost-complex structure on an even-dimensional manifold X is a complex structure on its tangent bundle TX , or equivalently a bundle map J W TX ! TX with J iJ D idTX . The pair .X;J / is called an almost complex manifold. It is called a complex manifold if the almost complex structure is integrable, meaning that J is induced via multiplication by i in any holomorphic coordinate chart.\",\"PeriodicalId\":115248,\"journal\":{\"name\":\"Geometry and Topology Monographs\",\"volume\":\"292 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geometry and Topology Monographs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/GTM.2015.19.73\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry and Topology Monographs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/GTM.2015.19.73","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the topology of fillings of contact 3-manifolds
Definition 1.2 An almost-complex structure on an even-dimensional manifold X is a complex structure on its tangent bundle TX , or equivalently a bundle map J W TX ! TX with J iJ D idTX . The pair .X;J / is called an almost complex manifold. It is called a complex manifold if the almost complex structure is integrable, meaning that J is induced via multiplication by i in any holomorphic coordinate chart.