{"title":"网格路径和具有更高层次生成器的震源级数","authors":"Dušan Đorđević, Marko Stošić","doi":"arxiv-2408.01832","DOIUrl":null,"url":null,"abstract":"The generalized knots-quivers correspondence extends the original\nknots-quivers correspondence, by allowing higher level generators of quiver\ngenerating series. In this paper we explore the underlined combinatorics of\nsuch generating series, relationship with the BPS numbers of a corresponding\nknot, and new combinatorial interpretations of the coefficients of generating\nseries.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"58 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lattice paths and quiver generating series with higher level generators\",\"authors\":\"Dušan Đorđević, Marko Stošić\",\"doi\":\"arxiv-2408.01832\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The generalized knots-quivers correspondence extends the original\\nknots-quivers correspondence, by allowing higher level generators of quiver\\ngenerating series. In this paper we explore the underlined combinatorics of\\nsuch generating series, relationship with the BPS numbers of a corresponding\\nknot, and new combinatorial interpretations of the coefficients of generating\\nseries.\",\"PeriodicalId\":501317,\"journal\":{\"name\":\"arXiv - MATH - Quantum Algebra\",\"volume\":\"58 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Quantum Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.01832\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.01832","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lattice paths and quiver generating series with higher level generators
The generalized knots-quivers correspondence extends the original
knots-quivers correspondence, by allowing higher level generators of quiver
generating series. In this paper we explore the underlined combinatorics of
such generating series, relationship with the BPS numbers of a corresponding
knot, and new combinatorial interpretations of the coefficients of generating
series.
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