Gromov-Witten theory of \(K3\) surfaces and a Kaneko-Zagier equation for Jacobi forms
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Publication:2046892
DOI10.1007/s00029-021-00673-yOpenAlexW3179072787MaRDI QIDQ2046892
Aaron Pixton, Georg Oberdieck, Jan-Willem M. van Ittersum
Publication date: 19 August 2021
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.03489
(K3) surfaces and Enriques surfaces (14J28) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Holomorphic modular forms of integral weight (11F11) Jacobi forms (11F50)
Related Items (4)
Elliptic genus and modular differential equations ⋮ Modular differential equations of the elliptic genus of Calabi-Yau fourfolds ⋮ Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds ⋮ \(\mathcal{N} = 2^\ast\) Schur indices
Cites Work
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- The theory of Jacobi forms
- On modular forms arising from a differential equation of hypergeometric type
- Holomorphic anomaly equations and the Igusa cusp form conjecture
- Gromov-Witten invariants of the Hilbert schemes of points of a \(K3\) surface
- Counting rational curves on \(K3\) surfaces
- Gromov-Witten theory of elliptic fibrations: Jacobi forms and holomorphic anomaly equations
- CHL Calabi-Yau threefolds: curve counting, Mathieu moonshine and Siegel modular forms
- Double ramification cycles on the moduli spaces of curves
- Curve Counting on K3 × E, The Igusa Cusp Form χ10, and Descendent Integration
- Curves on K 3 surfaces and modular forms
- Elliptic genera, real algebraic varieties and quasi-Jacobi forms
- The enumerative geometry of $K3$ surfaces and modular forms
- Gromov–Witten Theory of $\text{K3} \times {\mathbb{P}}^1$ and Quasi-Jacobi Forms
- Kaneko-Zagier type equation for Jacobi forms of index 1
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