Scientific article
OA Policy
English

On some hyperelliptic Hurwitz–Hodge integrals

ContributorsLewanski, Danilo
Publication date2023-02-23
First online date2023-02-23
Abstract

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.

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.

Citation (ISO format)
LEWANSKI, Danilo. On some hyperelliptic Hurwitz–Hodge integrals. In: Mathematical proceedings of the Cambridge Philosophical Society, 2023, vol. 175, n° 2, p. 271–284. doi: 10.1017/S0305004123000117
Main files (1)
Article (Published version)
Identifiers
Journal ISSN0305-0041
32views
8downloads

Technical informations

Creation08/07/2024 15:49:47
First validation08/07/2024 15:52:22
Update time08/07/2024 15:52:22
Status update08/07/2024 15:52:22
Last indexation01/11/2024 11:14:11
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack