Work

Gromov–Witten invariants of bielliptic surfaces

Year: 2025

Type: article

Abstract: Bielliptic surfaces appear as a 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 ‐class in the considered GW‐invariants.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70081

Author: Thomas Blomme

Institution: University of Neuchâtel

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung