Modular differential equations of the elliptic genus of Calabi-Yau fourfolds

Vertex operators; vertex operator algebras and related structures (17B69) Elliptic genera (58J26) Jacobi forms (11F50) Other partial differential equations of complex analysis in several variables (32W50)

Cites Work

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Modular forms of orthogonal type and Jacobi theta-series
Powers of Jacobi triple product, Cohen's numbers and the Ramanujan \(\Delta\)-function
The theory of Jacobi forms
Modified elliptic genus
Modular forms and differential operators
Elliptic genera of symmetric products and second quantized strings
On modular forms arising from a differential equation of hypergeometric type
Chern numbers for singular varieties and elliptic homology.
Modular linear differential equations of fourth order and minimal \(\mathcal{W}\)-algebras
Vertex operator algebras, minimal models, and modular linear differential equations of order 4
Constraints on low-dimensional string compactifications
Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
Elliptic genera and \(N=2\) superconformal field theory
Gromov-Witten theory of elliptic fibrations: Jacobi forms and holomorphic anomaly equations
Gromov-Witten theory of \(K3\) surfaces and a Kaneko-Zagier equation for Jacobi forms
The modular differential equation for skew-holomorphic Jacobi forms
The \(D_8\)-tower of weak Jacobi forms and applications
The third order modular linear differential equations
Differential operators for elliptic genera
Elliptic genus and modular differential equations
AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
Differential operators and the Witten genus for projective spaces and Milnor manifolds Partially supported by DGES grant BFM2001-2031.
On classification of Lorentzian Kac-Moody algebras
Hodge theory and Lagrangian planes on generalized Kummer fourfolds
Kaneko-Zagier type equation for Jacobi forms of index 1