{"title":"Relations for quadratic Hodge integrals via stable maps","authors":"Georgios Politopoulos","doi":"10.4153/s0008439524000080","DOIUrl":null,"url":null,"abstract":"<p>Following Faber–Pandharipande, we use the virtual localization formula for the moduli space of stable maps to <span><span><img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240207132305625-0891:S0008439524000080:S0008439524000080_inline1.png\"><span data-mathjax-type=\"texmath\"><span>$\\mathbb {P}^{1}$</span></span></img></span></span> to compute relations between Hodge integrals. We prove that certain generating series of these integrals are polynomials.</p>","PeriodicalId":501184,"journal":{"name":"Canadian Mathematical Bulletin","volume":"131 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Mathematical Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4153/s0008439524000080","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Following Faber–Pandharipande, we use the virtual localization formula for the moduli space of stable maps to $\mathbb {P}^{1}$ to compute relations between Hodge integrals. We prove that certain generating series of these integrals are polynomials.
$\mathbb {P}^{1}$ to compute relations between Hodge integrals. We prove that certain generating series of these integrals are polynomials.
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