Gromov-Witten Invariants of Bielliptic Surfaces

Thomas Blomme

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arXiv · 2401.01627

Gromov-Witten Invariants of Bielliptic Surfaces

Thomas Blomme

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Abstract

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 λ-class in the considered GW-invariants.

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BibTeX RIS

Thomas Blomme. 2024-01-03. Gromov-Witten Invariants of Bielliptic Surfaces. https://arxiv.org/abs/2401.01627

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