The authors define and study quasimodular forms for O(2,n), prove the constant-term isomorphism and a weight-depth criterion for theta lifts, and conjecture modularity for Enriques and bielliptic surface Gromov-Witten potentials.
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Quasi-modular forms for the orthogonal group and Gromov-Witten theory of Enriques surfaces
The authors define and study quasimodular forms for O(2,n), prove the constant-term isomorphism and a weight-depth criterion for theta lifts, and conjecture modularity for Enriques and bielliptic surface Gromov-Witten potentials.