BCOV ring and holomorphic anomaly equation

zbMath1216.14039arXiv0810.4795MaRDI QIDQ3086858

Shinobu Hosono

Publication date: 30 March 2011

Full work available at URL: https://arxiv.org/abs/0810.4795

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Holomorphic modular forms of integral weight (11F11) Applications of local differential geometry to the sciences (53B50) Applications of hypergeometric functions (33C90) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (9)

Algebraic structure of \(t\,t{*}\) equations for Calabi-Yau sigma models ⋮ Gauss-Manin connection in disguise: Calabi-Yau threefolds ⋮ Lectures on BCOV Holomorphic Anomaly Equations ⋮ Polynomial Structure of Topological String Partition Functions ⋮ Topological strings on non-commutative resolutions ⋮ Eisenstein type series for Calabi-Yau varieties ⋮ Holomorphicity and modularity in Seiberg-Witten theories with matter ⋮ Holomorphic anomaly of 2D Yang-Mills theory on a torus revisited ⋮ Quasi-modularity and holomorphic anomaly equation for the twisted Gromov-Witten theory: \(\mathcal{O}(3)\) over \(\mathbb{P}^2\)

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