Pillowcase covers: Counting Feynman-like graphs associated with quadratic differentials
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOUJARD, Elise | |
| dc.contributor.author | MOELLER, Martin | |
| dc.date.accessioned | 2024-04-04T03:04:34Z | |
| dc.date.available | 2024-04-04T03:04:34Z | |
| dc.date.created | 2018 | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 1472-2747 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193165 | |
| dc.description.abstractEn | We prove the quasimodularity of generating functions for counting pillowcase covers, with and without Siegel-Veech weight. Similar to prior work on torus covers, the proof is based on analyzing decompositions of half-translation surfaces into horizontal cylinders. It provides an alternative proof of the quasimodularity results of Eskin-Okounkov and a practical method to compute area Siegel-Veech constants. A main new technical tool is a quasi-polynomiality result for 2-orbifold Hurwitz numbers with completed cycles. | |
| dc.language.iso | en | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.rights.uri | http://creativecommons.org/licenses/by-sa/ | |
| dc.title.en | Pillowcase covers: Counting Feynman-like graphs associated with quadratic differentials | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2140/agt.2020.20.2451 | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1809.05016 | |
| bordeaux.journal | Algebraic and Geometric Topology | |
| bordeaux.page | 2451-2510 | |
| bordeaux.volume | 20 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01914353 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01914353v1 | |
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