The Gromov-Witten instanton expansion of the 4D N=2 prepotential is reinterpreted as a spectral decomposition into eigenfunctions of a Laplace-Beltrami operator on the Coxeter quotient of the moduli space, explaining the natural appearance of Bessel and theta functions for dihedral groups.
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Harmonic Analysis of the Instanton Prepotential
The Gromov-Witten instanton expansion of the 4D N=2 prepotential is reinterpreted as a spectral decomposition into eigenfunctions of a Laplace-Beltrami operator on the Coxeter quotient of the moduli space, explaining the natural appearance of Bessel and theta functions for dihedral groups.