{"title":"Reciprocity of the Chern–Simons invariants of 3-manifolds","authors":"Takefumi Nosaka","doi":"10.1007/s11005-023-01760-1","DOIUrl":null,"url":null,"abstract":"<div><p>We pose a reciprocity conjecture of the Chern–Simons invariants of 3-manifolds, and discuss some supporting evidence on the conjectures. Particularly, we show that the conjectures hold if Galois descent of a certain <span>\\(K_3\\)</span>-group is satisfied.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11005-023-01760-1","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We pose a reciprocity conjecture of the Chern–Simons invariants of 3-manifolds, and discuss some supporting evidence on the conjectures. Particularly, we show that the conjectures hold if Galois descent of a certain \(K_3\)-group is satisfied.
期刊介绍:
The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.