Matthew Krauel

VERTEX OPERATOR ALGEBRAS AND WEAK JACOBI FORMS

Let

A Jacobi theta series and its transformation laws

V

Length spectra of sub-Riemannian metrics on compact Lie groups

be a strongly regular vertex operator algebra. For a state

A modular invariance property of multivariable trace functions for regular vertex operator algebras

h \in V_1

Jacobi trace functions in the theory of vertex operator algebras

satisfying appropriate integrality conditions, we prove that the space spanned by the trace functions Tr

On a relation between certain -hypergeometric series and Maass waveforms

_Mq^{L(0)-c/24}\zeta^{h(0)} (

Vertex Operator Algebras and Jacobi Forms

M

One-point theta functions for vertex operator algebras

a

Zhu reduction for Jacobi

V

n

-module) is a vector-valued weak Jacobi form of weight 0 and a certain index