Counting Feynman-like graphs: Quasimodularity and Siegel-Veech weight
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOUJARD, Elise | |
| dc.contributor.author | MOELLER, Martin | |
| dc.date.accessioned | 2024-04-04T03:04:26Z | |
| dc.date.available | 2024-04-04T03:04:26Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 1435-9855 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193152 | |
| dc.description.abstractEn | We prove the quasimodularity of generating functions for counting torus covers, with and without Siegel-Veech weight. Our proof is based on analyzing decompositions of flat surfaces into horizontal cylinders. The quasimodularity arise as contour integral of quasi-elliptic functions. It provides an alternative proof of the quasimodularity results of Bloch-Okounkov, Eskin-Okounkov and Chen-Moeller-Zagier, and generalizes the results of Boehm-Bringmann-Buchholz-Markwig for simple ramification covers. | |
| dc.language.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.title.en | Counting Feynman-like graphs: Quasimodularity and Siegel-Veech weight | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4171/JEMS/924 | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 1609.01658 | |
| bordeaux.journal | Journal of the European Mathematical Society | |
| bordeaux.page | 365–412 | |
| bordeaux.volume | 22 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01915037 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01915037v1 | |
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