{"title":"Explicit evaluation of the Stokes matrices for certain quantum confluent hypergeometric equations","authors":"Jinghong Lin , Xiaomeng Xu","doi":"10.1016/j.geomphys.2024.105364","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we compute the Stokes matrices of a special quantum confluent hypergeometric system with Poincaré rank one. The interest in the Stokes phenomenon of such a system arises from representation theory and the theory of isomonodromy deformation.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"209 ","pages":"Article 105364"},"PeriodicalIF":1.2000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geometry and Physics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0393044024002651","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/11/14 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we compute the Stokes matrices of a special quantum confluent hypergeometric system with Poincaré rank one. The interest in the Stokes phenomenon of such a system arises from representation theory and the theory of isomonodromy deformation.
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The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields.
The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered.
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