Gromov-Witten Invariants of Bielliptic Surfaces

Autor: Blomme, Thomas
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 55 pages, 8 figures, comments welcome
Databáze: arXiv