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Gromov-Witten Invariants of Bielliptic Surfaces
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Bielliptic surfaces appear as quotient of a product of two elliptic curves and were classified by Bagnera-Franchis. We give a concrete way of computing their GW-invariants with point insertions using a floor diagram algorithm. Using the latter, we are able to prove the quasi-modularity of their generating series by relating them to generating series of graphs for which we also prove quasi-modularity results. We propose a refinement of these invariants by inserting a {\lambda}-class in the considered GW-invariants.
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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...
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