Counting Feynman-like graphs: quasimodularity and Siegel-Veech weight
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Publication:2302429
DOI10.4171/JEMS/924zbMath1433.05155arXiv1609.01658MaRDI QIDQ2302429
Publication date: 26 February 2020
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.01658
Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Holomorphic modular forms of integral weight (11F11) Coverings of curves, fundamental group (14H30)
Related Items (11)
Counts of (tropical) curves in \(E \times \mathbb{P}^1\) and Feynman integrals ⋮ Tropical mirror symmetry in dimension one ⋮ Triply mixed coverings of arbitrary base curves: quasimodularity, quantum curves and a mysterious topological recursion ⋮ A symmetric Bloch-Okounkov theorem ⋮ Pillowcase covers: counting Feynman-like graphs associated with quadratic differentials ⋮ Strata ofp‐origamis ⋮ Regularized integrals on elliptic curves and holomorphic anomaly equations ⋮ Tropical curves and covers and their moduli spaces ⋮ Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials ⋮ Regularized integrals on Riemann surfaces and modular forms ⋮ Erratum to: ``Tropical mirror symmetry for elliptic curves
Cites Work
- Periods of modular forms and Jacobi theta functions
- Formal differential operators, vertex operator algebras and zeta-values. I, II.
- Graphs on surfaces and their applications. Appendix by Don B. Zagier
- Feynman graph integrals and almost modular forms
- An explicit formula for the characters of the symmetric group.
- Gromov-Witten theory, Hurwitz theory, and completed cycles
- Partitions, quasimodular forms, and the Bloch-Okounkov theorem
- Tropicalizing vs. compactifying the Torelli morphism
- On double Hurwitz numbers with completed cycles
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