On some hyperelliptic Hurwitz

Article Article scientifique Article On some hyperelliptic Hurwitz–Hodge integrals eng 2023-02-23 2023-02-23 author Lewanski Danilo 978013 271-284 10.1017/S0305004123000117 0305-0041 https://www.cambridge.org/core/product/identifier/S0305004123000117/type/journal_article <p>We address Hodge integrals over the hyperelliptic locus. Recently Afandi computed, via localisation techniques, such one-descendant integrals and showed that they are Stirling numbers. We give another proof of the same statement by a very short argument, exploiting Chern classes of spin structures and relations arising from Topological Recursion in the sense of Eynard and Orantin.</p> <p>These techniques seem also suitable to deal with three orthogonal generalisations: (1) the extension to the r -hyperelliptic locus; (2) the extension to an arbitrary number of non-Weierstrass pairs of points; (3) the extension to multiple descendants.</p> Dewey 510 25 Section de mathématiques 11 false Mathematical proceedings of the Cambridge Philosophical Society 175 2 28a9e35e-601d-4edc-97eb-dbdb46fe0b36 Article (Published version) Public Article_scientifique_from_unpaywall.pdf 227855 application/pdf CC BY 8ca46e312ab288d1358bbd70029ed36c82d9c578b8821ef6da74e60d932ec6e6 openAccess Faculté des sciences / Section de mathématiques

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On some hyperelliptic Hurwitz–Hodge integrals	Mathematical proceedings of the Cambridge Philosophical Society			2023	61	224

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Lewanski, Danilo