Elliptically fibered Calabi-Yau manifolds and the ring of Jacobi forms

DOI10.1016/j.nuclphysb.2015.06.020zbMath1329.14081OpenAlexW2173305985MaRDI QIDQ907142

Sheldon Katz, Albrecht Klemm, Min-Xin Huang

Publication date: 22 January 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2015.06.020

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Jacobi forms (11F50) Applications of holomorphic fiber spaces to the sciences (32L81) Holomorphic bundles and generalizations (32L05) Relationships between algebraic curves and physics (14H81)

Related Items

On elliptic genera of 6d string theories, On exceptional instanton strings, State counting on fibered CY 3-folds and the non-abelian weak gravity conjecture

Cites Work

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• Special polynomial rings, quasi modular forms and duality of topological strings
• The theory of Jacobi forms
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Monopole and dyon bound states in \(N=2\) supersymmetric Yang-Mills theories
• The refined BPS index from stable pair invariants
• Quantum geometry of elliptic Calabi-Yau manifolds
• Topological string on elliptic CY 3-folds and the ring of Jacobi forms
• Stable pairs and BPS invariants
• Topological String Theory on Compact Calabi–Yau: Modularity and Boundary Conditions
• Mirror symmetry for two-parameter models. II
• M-theory, topological strings and spinning black holes