دورية أكاديمية
Appendix. A second topological recursion for Masur-Veech volumes
| العنوان: | Appendix. A second topological recursion for Masur-Veech volumes |
|---|---|
| المؤلفون: | Chen D, Moller M, Sauvaget A, with an appendix by Borot G, Giacchetto A, Lewanski D |
| المساهمون: | Chen, D, Moller, M, Sauvaget, A, with an appendix by Borot, G, Giacchetto, A, Lewanski, D |
| سنة النشر: | 2023 |
| المجموعة: | Università degli studi di Trieste: ArTS (Archivio della ricerca di Trieste) |
| مصطلحات موضوعية: | Masur-Veech volumes: Algebraic Geometry, Moduli spaces |
| الوصف: | We describe a conjectural formula via intersection numbers for the Masur-Veech volumes of strata of quadratic differentials with prescribed zero orders, and we prove the formula for the case when the zero orders are odd. For the principal strata of quadratic differentials with simple zeros, the formula reduces to compute the top Segre class of the quadratic Hodge bundle, which can be further simplified to certain linear Hodge integrals. An appendix proves that the intersection of this class with ψ-classes can be computed by Eynard-Orantin topological recursion. As applications, we analyze numerical properties of Masur-Veech volumes, area Siegel-Veech constants and sums of Lyapunov exponents of the principal strata for fixed genus and varying number of zeros, which settles the corresponding conjectures due to Grivaux-Hubert, Fougeron, and elaborated in [the7]. We also describe conjectural formulas for area Siegel-Veech constants and sums of Lyapunov exponents for arbitrary affine invariant submanifolds, and verify them for the principal strata |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/wos/WOS:001023513700003; volume:172/2023; issue:9; firstpage:1735; lastpage:1779; numberofpages:45; journal:DUKE MATHEMATICAL JOURNAL; https://hdl.handle.net/11368/3047141Test; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85174225783; https://projecteuclid.org/journals/duke-mathematical-journal/volume-172/issue-9/MasurVeech-volumes-and-intersection-theory--The-principal-strata-of/10.1215/00127094-2022-0063.shortTest |
| DOI: | 10.1215/00127094-2022-0063 |
| DOI: | 10.1215/00127094-2022-0063.short |
| الإتاحة: | https://doi.org/10.1215/00127094-2022-0063Test https://hdl.handle.net/11368/3047141Test |
| حقوق: | info:eu-repo/semantics/closedAccess |
| رقم الانضمام: | edsbas.5A65156 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1215/00127094-2022-0063 |
|---|