{"title":"三维映射环面的\\(\\mathbb {Z}/p\\) Dijkgraaf-Witten不变量的注释","authors":"William Chen, Alex Kontorovich, Shehryar Sikander","doi":"10.1007/s00220-025-05279-5","DOIUrl":null,"url":null,"abstract":"<div><p>We make some remarks on the <span>\\(\\mathbb {Z}/p\\)</span> Dijkgraaf-Witten invariants of 3D mapping tori and determine the asymptotic behavior of their sum over all diffeomorphism classes of 3D mapping tori of genus one.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Remarks on the \\\\(\\\\mathbb {Z}/p\\\\) Dijkgraaf-Witten Invariants of 3D Mapping Tori\",\"authors\":\"William Chen, Alex Kontorovich, Shehryar Sikander\",\"doi\":\"10.1007/s00220-025-05279-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We make some remarks on the <span>\\\\(\\\\mathbb {Z}/p\\\\)</span> Dijkgraaf-Witten invariants of 3D mapping tori and determine the asymptotic behavior of their sum over all diffeomorphism classes of 3D mapping tori of genus one.</p></div>\",\"PeriodicalId\":522,\"journal\":{\"name\":\"Communications in Mathematical Physics\",\"volume\":\"406 5\",\"pages\":\"\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2025-05-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00220-025-05279-5\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00220-025-05279-5","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Remarks on the \(\mathbb {Z}/p\) Dijkgraaf-Witten Invariants of 3D Mapping Tori
We make some remarks on the \(\mathbb {Z}/p\) Dijkgraaf-Witten invariants of 3D mapping tori and determine the asymptotic behavior of their sum over all diffeomorphism classes of 3D mapping tori of genus one.
期刊介绍:
The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.