Algebraic Geometry Seminar
Gromov-Witten invariants of bielliptic surfaces
2024/02/29 (Thu.) 16:30~18:30
- Date : 2024/02/29 (Thu.) 16:30~18:30
- Location : online
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Speaker : Thomas Blomme (Université de Neuchâtel)
- Organizer : Arkadij Bojko
Email: abojko (at) gate (dot) sinica (dot) edu (dot) tw
- Website : https://wiki.preschema.com/ag-seminar
- Abstract : Bielliptic surfaces form a particular class in the Enriques-Kodaira classification of compact minimal complex surfaces. They possess an explicit description as the quotient of a product of elliptic curves by a group action. They were classified in seven subfamilies by Bagnera-Franchis at the beginning of the XXth century. In this talk, we will care about the computation of their Gromov-Witten invariants with point insertions and a lambda-class insertion. Using J. Li's decomposition formula, we relate these Gromov-Witten invariants to a graph count with some multiplicities. It is thus possible to perform explicit computations. Using some combinatorial tools, we are able to prove the quasi-modularity of the generating series of the above invariants.
