{"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}
引用次数: 0
Abstract
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.