退化公式中的轨道技术

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2016-06-28 DOI:10.2422/2036-2145.201408_006

D. Abramovich, B. Fantechi

{"title":"退化公式中的轨道技术","authors":"D. Abramovich, B. Fantechi","doi":"10.2422/2036-2145.201408_006","DOIUrl":null,"url":null,"abstract":"We give a new approach for relative and degenerate Gromov-Witten \ninvariants, inspired by that ofJun Li but replacing predeformable maps by transversal \nmaps to a twisted target. The main advantage is a significant simplification in \nthe definition of the obstruction theory. We reprove in our language the degeneration \nformula, extending it to the orbifold case","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"2 1","pages":"519-579"},"PeriodicalIF":1.2000,"publicationDate":"2016-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"23","resultStr":"{\"title\":\"Orbifold thechniques in degeneration formulas\",\"authors\":\"D. Abramovich, B. Fantechi\",\"doi\":\"10.2422/2036-2145.201408_006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a new approach for relative and degenerate Gromov-Witten \\ninvariants, inspired by that ofJun Li but replacing predeformable maps by transversal \\nmaps to a twisted target. The main advantage is a significant simplification in \\nthe definition of the obstruction theory. We reprove in our language the degeneration \\nformula, extending it to the orbifold case\",\"PeriodicalId\":50966,\"journal\":{\"name\":\"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze\",\"volume\":\"2 1\",\"pages\":\"519-579\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2016-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"23\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2422/2036-2145.201408_006\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2422/2036-2145.201408_006","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 23

摘要

在李俊的启发下，我们给出了一种求解相对和简并Gromov-Witten不变量的新方法，但用扭曲目标的横向映射代替了可预变形映射。其主要优点是对阻碍理论的定义进行了显著的简化。我们用自己的语言对退化公式进行了修正，并将其推广到轨道情况

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Orbifold thechniques in degeneration formulas

We give a new approach for relative and degenerate Gromov-Witten invariants, inspired by that ofJun Li but replacing predeformable maps by transversal maps to a twisted target. The main advantage is a significant simplification in the definition of the obstruction theory. We reprove in our language the degeneration formula, extending it to the orbifold case

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24