Generalized Brézin–Gross–Witten tau-function as a hypergeometric solution of the BKP hierarchy
DC Field | Value | Language |
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dc.contributor.author | Alexander Alexandrov | - |
dc.date.accessioned | 2023-01-26T02:19:08Z | - |
dc.date.available | 2023-01-26T02:19:08Z | - |
dc.date.created | 2023-01-02 | - |
dc.date.issued | 2023-01 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | https://pr.ibs.re.kr/handle/8788114/12449 | - |
dc.description.abstract | © 2022 Elsevier Inc.In this paper, we prove that the generalized Brézin–Gross– Witten tau-function is a hypergeometric solution of the BKP hierarchy with simple weight generating function. We claim that it describes a spin version of the strictly monotone Hurwitz numbers. A family of the hypergeometric tau-functions of the BKP hierarchy, corresponding to the rational weight generating functions, is investigated. In particular, the cut-and-join operators are constructed, and the explicit description of the BKP Sato Grassmannian points is derived. Representatives of this family can be associated with interesting families of spin Hurwitz numbers including a spin version of the monotone Hurwitz numbers. | - |
dc.language | 영어 | - |
dc.publisher | Academic Press | - |
dc.title | Generalized Brézin–Gross–Witten tau-function as a hypergeometric solution of the BKP hierarchy | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.wosid | 000917738500009 | - |
dc.identifier.scopusid | 2-s2.0-85143850775 | - |
dc.identifier.rimsid | 79605 | - |
dc.contributor.affiliatedAuthor | Alexander Alexandrov | - |
dc.identifier.doi | 10.1016/j.aim.2022.108809 | - |
dc.identifier.bibliographicCitation | Advances in Mathematics, v.412 | - |
dc.relation.isPartOf | Advances in Mathematics | - |
dc.citation.title | Advances in Mathematics | - |
dc.citation.volume | 412 | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | TRANSFORMATION GROUPS | - |
dc.subject.keywordPlus | INTERSECTION THEORY | - |
dc.subject.keywordPlus | MODULI SPACE | - |
dc.subject.keywordAuthor | BGW tau-function | - |
dc.subject.keywordAuthor | BKP hierarchy | - |
dc.subject.keywordAuthor | Spin Hurwitz numbers | - |